Basic Math Examples

Solve for y 5/3y+1/3y=5y+70/3+5/3y
Step 1
Simplify .
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Step 1.1
Simplify each term.
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Step 1.1.1
Combine and .
Step 1.1.2
Combine and .
Step 1.2
Simplify terms.
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Step 1.2.1
Combine the numerators over the common denominator.
Step 1.2.2
Add and .
Step 1.2.3
Cancel the common factor of and .
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Step 1.2.3.1
Factor out of .
Step 1.2.3.2
Cancel the common factors.
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Step 1.2.3.2.1
Factor out of .
Step 1.2.3.2.2
Cancel the common factor.
Step 1.2.3.2.3
Rewrite the expression.
Step 1.2.3.2.4
Divide by .
Step 2
Simplify .
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Step 2.1
Combine and .
Step 2.2
To write as a fraction with a common denominator, multiply by .
Step 2.3
Combine and .
Step 2.4
Combine the numerators over the common denominator.
Step 2.5
Combine the numerators over the common denominator.
Step 2.6
Multiply by .
Step 2.7
Add and .
Step 2.8
Factor out of .
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Step 2.8.1
Factor out of .
Step 2.8.2
Factor out of .
Step 2.8.3
Factor out of .
Step 3
Move all terms containing to the left 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
Combine and .
Step 3.4
Combine the numerators over the common denominator.
Step 3.5
Simplify the numerator.
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Step 3.5.1
Factor out of .
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Step 3.5.1.1
Factor out of .
Step 3.5.1.2
Factor out of .
Step 3.5.1.3
Factor out of .
Step 3.5.2
Move to the left of .
Step 3.5.3
Apply the distributive property.
Step 3.5.4
Multiply by .
Step 3.5.5
Multiply by .
Step 3.5.6
Subtract from .
Step 3.5.7
Factor out of .
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Step 3.5.7.1
Factor out of .
Step 3.5.7.2
Factor out of .
Step 3.5.7.3
Factor out of .
Step 3.5.8
Multiply by .
Step 3.6
Factor out of .
Step 3.7
Rewrite as .
Step 3.8
Factor out of .
Step 3.9
Rewrite as .
Step 3.10
Move the negative in front of the fraction.
Step 4
Set the numerator equal to zero.
Step 5
Solve the equation for .
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Step 5.1
Divide each term in by and simplify.
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Step 5.1.1
Divide each term in by .
Step 5.1.2
Simplify the left side.
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Step 5.1.2.1
Cancel the common factor of .
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Step 5.1.2.1.1
Cancel the common factor.
Step 5.1.2.1.2
Divide by .
Step 5.1.3
Simplify the right side.
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Step 5.1.3.1
Divide by .
Step 5.2
Subtract from both sides of the equation.