Basic Math Examples

Solve for y 2/3*(39-y)=56
Step 1
Multiply both sides of the equation by .
Step 2
Simplify both sides of the equation.
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Step 2.1
Simplify the left side.
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Step 2.1.1
Simplify .
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Step 2.1.1.1
Apply the distributive property.
Step 2.1.1.2
Cancel the common factor of .
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Step 2.1.1.2.1
Factor out of .
Step 2.1.1.2.2
Cancel the common factor.
Step 2.1.1.2.3
Rewrite the expression.
Step 2.1.1.3
Multiply by .
Step 2.1.1.4
Combine and .
Step 2.1.1.5
Apply the distributive property.
Step 2.1.1.6
Cancel the common factor of .
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Step 2.1.1.6.1
Factor out of .
Step 2.1.1.6.2
Cancel the common factor.
Step 2.1.1.6.3
Rewrite the expression.
Step 2.1.1.7
Multiply by .
Step 2.1.1.8
Cancel the common factor of .
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Step 2.1.1.8.1
Move the leading negative in into the numerator.
Step 2.1.1.8.2
Cancel the common factor.
Step 2.1.1.8.3
Rewrite the expression.
Step 2.1.1.9
Cancel the common factor of .
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Step 2.1.1.9.1
Factor out of .
Step 2.1.1.9.2
Cancel the common factor.
Step 2.1.1.9.3
Rewrite the expression.
Step 2.2
Simplify the right side.
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Step 2.2.1
Simplify .
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Step 2.2.1.1
Cancel the common factor of .
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Step 2.2.1.1.1
Factor out of .
Step 2.2.1.1.2
Cancel the common factor.
Step 2.2.1.1.3
Rewrite the expression.
Step 2.2.1.2
Multiply by .
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
Subtract from .
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
Dividing two negative values results in a positive value.
Step 4.2.2
Divide by .
Step 4.3
Simplify the right side.
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Step 4.3.1
Divide by .