Finite Math Examples

Solve for y (5y)/6-8=5-(2y)/3
Step 1
Move all terms containing to the left side of the equation.
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Step 1.1
Add to both sides of the equation.
Step 1.2
To write as a fraction with a common denominator, multiply by .
Step 1.3
Write each expression with a common denominator of , by multiplying each by an appropriate factor of .
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Step 1.3.1
Multiply by .
Step 1.3.2
Multiply by .
Step 1.4
Combine the numerators over the common denominator.
Step 1.5
Simplify each term.
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Step 1.5.1
Simplify the numerator.
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Step 1.5.1.1
Factor out of .
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Step 1.5.1.1.1
Factor out of .
Step 1.5.1.1.2
Factor out of .
Step 1.5.1.1.3
Factor out of .
Step 1.5.1.2
Multiply by .
Step 1.5.1.3
Add and .
Step 1.5.2
Cancel the common factor of and .
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Step 1.5.2.1
Factor out of .
Step 1.5.2.2
Cancel the common factors.
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Step 1.5.2.2.1
Factor out of .
Step 1.5.2.2.2
Cancel the common factor.
Step 1.5.2.2.3
Rewrite the expression.
Step 1.5.3
Move to the left of .
Step 2
Move all terms not containing to the right 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
Multiply both sides of the equation by .
Step 4
Simplify both sides of the equation.
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Step 4.1
Simplify the left side.
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Step 4.1.1
Simplify .
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Step 4.1.1.1
Cancel the common factor of .
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Step 4.1.1.1.1
Cancel the common factor.
Step 4.1.1.1.2
Rewrite the expression.
Step 4.1.1.2
Cancel the common factor of .
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Step 4.1.1.2.1
Factor out of .
Step 4.1.1.2.2
Cancel the common factor.
Step 4.1.1.2.3
Rewrite the expression.
Step 4.2
Simplify the right side.
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Step 4.2.1
Multiply .
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Step 4.2.1.1
Combine and .
Step 4.2.1.2
Multiply by .
Step 5
The result can be shown in multiple forms.
Exact Form:
Decimal Form:
Mixed Number Form: