Finite Math Examples

Solve for y 1/3*(9-12y)+1/5y=-4/5
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
Cancel the common factor of .
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Step 1.1.2.1
Factor out of .
Step 1.1.2.2
Cancel the common factor.
Step 1.1.2.3
Rewrite the expression.
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 1.1.4
Combine and .
Step 1.2
To write as a fraction with a common denominator, multiply by .
Step 1.3
Simplify terms.
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Step 1.3.1
Combine and .
Step 1.3.2
Combine the numerators over the common denominator.
Step 1.4
Simplify each term.
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Step 1.4.1
Simplify the numerator.
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Step 1.4.1.1
Factor out of .
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Step 1.4.1.1.1
Factor out of .
Step 1.4.1.1.2
Raise to the power of .
Step 1.4.1.1.3
Factor out of .
Step 1.4.1.1.4
Factor out of .
Step 1.4.1.2
Multiply by .
Step 1.4.1.3
Add and .
Step 1.4.2
Move to the left of .
Step 1.4.3
Move the negative in front of the fraction.
Step 2
Move all terms not containing to the right side of the equation.
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Step 2.1
Subtract from both sides of the equation.
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
Simplify the numerator.
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Step 2.5.1
Multiply by .
Step 2.5.2
Subtract from .
Step 2.6
Move the negative in front of the fraction.
Step 3
Since the expression on each side of the equation has the same denominator, the numerators must be equal.
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
Divide by .