Basic Math Examples

Solve for y 1/3-5y+5/6=2/3-2y
Step 1
Simplify .
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Step 1.1
To write as a fraction with a common denominator, multiply by .
Step 1.2
Write each expression with a common denominator of , by multiplying each by an appropriate factor of .
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Step 1.2.1
Multiply by .
Step 1.2.2
Multiply by .
Step 1.3
Combine the numerators over the common denominator.
Step 1.4
Add and .
Step 2
Move all terms containing to the left side of the equation.
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Step 2.1
Add to both sides of the equation.
Step 2.2
Add and .
Step 3
Move all terms not containing to the right side of the equation.
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Step 3.1
Subtract from both sides of the equation.
Step 3.2
To write as a fraction with a common denominator, multiply by .
Step 3.3
Write each expression with a common denominator of , by multiplying each by an appropriate factor of .
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Step 3.3.1
Multiply by .
Step 3.3.2
Multiply by .
Step 3.4
Combine the numerators over the common denominator.
Step 3.5
Simplify the numerator.
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Step 3.5.1
Multiply by .
Step 3.5.2
Subtract from .
Step 3.6
Cancel the common factor of and .
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Step 3.6.1
Factor out of .
Step 3.6.2
Cancel the common factors.
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Step 3.6.2.1
Factor out of .
Step 3.6.2.2
Cancel the common factor.
Step 3.6.2.3
Rewrite the expression.
Step 3.7
Move the negative in front of the fraction.
Step 4
Divide each term in by and simplify.
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Step 4.1
Divide each term in by .
Step 4.2
Simplify the left side.
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Step 4.2.1
Cancel the common factor of .
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Step 4.2.1.1
Cancel the common factor.
Step 4.2.1.2
Divide by .
Step 4.3
Simplify the right side.
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Step 4.3.1
Multiply the numerator by the reciprocal of the denominator.
Step 4.3.2
Move the negative in front of the fraction.
Step 4.3.3
Multiply .
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Step 4.3.3.1
Multiply by .
Step 4.3.3.2
Multiply by .
Step 4.3.3.3
Multiply by .
Step 4.3.3.4
Multiply by .
Step 5
The result can be shown in multiple forms.
Exact Form:
Decimal Form: