Basic Math Examples

Solve for y 1/2*(y+6)+4=1/6*(9y-30)-3
Step 1
Simplify .
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Step 1.1
Simplify each term.
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Step 1.1.1
Apply the distributive property.
Step 1.1.2
Combine and .
Step 1.1.3
Cancel the common factor of .
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Step 1.1.3.1
Factor out of .
Step 1.1.3.2
Cancel the common factor.
Step 1.1.3.3
Rewrite the expression.
Step 1.2
Add and .
Step 2
Simplify .
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Step 2.1
Simplify each term.
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Step 2.1.1
Apply the distributive property.
Step 2.1.2
Cancel the common factor of .
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Step 2.1.2.1
Factor out of .
Step 2.1.2.2
Factor out of .
Step 2.1.2.3
Cancel the common factor.
Step 2.1.2.4
Rewrite the expression.
Step 2.1.3
Combine and .
Step 2.1.4
Combine and .
Step 2.1.5
Cancel the common factor of .
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Step 2.1.5.1
Factor out of .
Step 2.1.5.2
Cancel the common factor.
Step 2.1.5.3
Rewrite the expression.
Step 2.2
Subtract from .
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
Combine the numerators over the common denominator.
Step 3.3
Subtract from .
Step 3.4
Cancel the common factor of and .
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Step 3.4.1
Factor out of .
Step 3.4.2
Cancel the common factors.
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Step 3.4.2.1
Factor out of .
Step 3.4.2.2
Cancel the common factor.
Step 3.4.2.3
Rewrite the expression.
Step 3.4.2.4
Divide by .
Step 4
Move all terms not containing to the right side of the equation.
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Step 4.1
Subtract from both sides of the equation.
Step 4.2
Subtract from .
Step 5
Divide each term in by and simplify.
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Step 5.1
Divide each term in by .
Step 5.2
Simplify the left side.
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Step 5.2.1
Dividing two negative values results in a positive value.
Step 5.2.2
Divide by .
Step 5.3
Simplify the right side.
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Step 5.3.1
Divide by .