Finite Math Examples

Solve for y 2y-4/3=-4/3y-3/5
Step 1
Simplify each term.
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Step 1.1
Combine and .
Step 1.2
Move to the left of .
Step 2
Move all terms containing to the left side of the equation.
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Step 2.1
Add to 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
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
Multiply both sides by .
Step 4
Simplify.
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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
Apply the distributive property.
Step 4.1.1.3
Multiply.
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Step 4.1.1.3.1
Multiply by .
Step 4.1.1.3.2
Multiply by .
Step 4.2
Simplify the right side.
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Step 4.2.1
Simplify .
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Step 4.2.1.1
Multiply .
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Step 4.2.1.1.1
Multiply by .
Step 4.2.1.1.2
Combine and .
Step 4.2.1.1.3
Multiply by .
Step 4.2.1.2
Move the negative in front of the fraction.
Step 5
Solve for .
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Step 5.1
Move all terms not containing to the right side of the equation.
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Step 5.1.1
Add to both sides of the equation.
Step 5.1.2
To write as a fraction with a common denominator, multiply by .
Step 5.1.3
Combine and .
Step 5.1.4
Combine the numerators over the common denominator.
Step 5.1.5
Simplify the numerator.
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Step 5.1.5.1
Multiply by .
Step 5.1.5.2
Add and .
Step 5.2
Divide each term in by and simplify.
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Step 5.2.1
Divide each term in by .
Step 5.2.2
Simplify the left side.
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Step 5.2.2.1
Cancel the common factor of .
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Step 5.2.2.1.1
Cancel the common factor.
Step 5.2.2.1.2
Divide by .
Step 5.2.3
Simplify the right side.
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Step 5.2.3.1
Multiply the numerator by the reciprocal of the denominator.
Step 5.2.3.2
Multiply .
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Step 5.2.3.2.1
Multiply by .
Step 5.2.3.2.2
Multiply by .
Step 6
The result can be shown in multiple forms.
Exact Form:
Decimal Form: