Basic Math Examples

Solve for y 4|7y+2|-8=-7
Step 1
Move all terms not containing to the right side of the equation.
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Step 1.1
Add to both sides of the equation.
Step 1.2
Add and .
Step 2
Divide each term in by and simplify.
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Step 2.1
Divide each term in by .
Step 2.2
Simplify the left side.
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Step 2.2.1
Cancel the common factor of .
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Step 2.2.1.1
Cancel the common factor.
Step 2.2.1.2
Divide by .
Step 3
Remove the absolute value term. This creates a on the right side of the equation because .
Step 4
The complete solution is the result of both the positive and negative portions of the solution.
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Step 4.1
First, use the positive value of the to find the first solution.
Step 4.2
Move all terms not containing to the right side of the equation.
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Step 4.2.1
Subtract from both sides of the equation.
Step 4.2.2
To write as a fraction with a common denominator, multiply by .
Step 4.2.3
Combine and .
Step 4.2.4
Combine the numerators over the common denominator.
Step 4.2.5
Simplify the numerator.
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Step 4.2.5.1
Multiply by .
Step 4.2.5.2
Subtract from .
Step 4.2.6
Move the negative in front of the fraction.
Step 4.3
Divide each term in by and simplify.
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Step 4.3.1
Divide each term in by .
Step 4.3.2
Simplify the left side.
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Step 4.3.2.1
Cancel the common factor of .
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Step 4.3.2.1.1
Cancel the common factor.
Step 4.3.2.1.2
Divide by .
Step 4.3.3
Simplify the right side.
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Step 4.3.3.1
Multiply the numerator by the reciprocal of the denominator.
Step 4.3.3.2
Cancel the common factor of .
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Step 4.3.3.2.1
Move the leading negative in into the numerator.
Step 4.3.3.2.2
Factor out of .
Step 4.3.3.2.3
Cancel the common factor.
Step 4.3.3.2.4
Rewrite the expression.
Step 4.3.3.3
Move the negative in front of the fraction.
Step 4.4
Next, use the negative value of the to find the second solution.
Step 4.5
Move all terms not containing to the right side of the equation.
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Step 4.5.1
Subtract from both sides of the equation.
Step 4.5.2
To write as a fraction with a common denominator, multiply by .
Step 4.5.3
Combine and .
Step 4.5.4
Combine the numerators over the common denominator.
Step 4.5.5
Simplify the numerator.
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Step 4.5.5.1
Multiply by .
Step 4.5.5.2
Subtract from .
Step 4.5.6
Move the negative in front of the fraction.
Step 4.6
Divide each term in by and simplify.
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Step 4.6.1
Divide each term in by .
Step 4.6.2
Simplify the left side.
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Step 4.6.2.1
Cancel the common factor of .
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Step 4.6.2.1.1
Cancel the common factor.
Step 4.6.2.1.2
Divide by .
Step 4.6.3
Simplify the right side.
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Step 4.6.3.1
Multiply the numerator by the reciprocal of the denominator.
Step 4.6.3.2
Multiply .
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Step 4.6.3.2.1
Multiply by .
Step 4.6.3.2.2
Multiply by .
Step 4.7
The complete solution is the result of both the positive and negative portions of the solution.
Step 5
The result can be shown in multiple forms.
Exact Form:
Decimal Form: