Basic Math Examples

Solve for y (2y-5)/14=(z-3)/9
Step 1
Multiply both sides by .
Step 2
Simplify.
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Step 2.1
Simplify the left side.
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Step 2.1.1
Cancel the common factor of .
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Step 2.1.1.1
Cancel the common factor.
Step 2.1.1.2
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
Combine and .
Step 2.2.1.2
Move to the left of .
Step 3
Solve for .
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Step 3.1
Add to both sides of the equation.
Step 3.2
Divide each term in by and simplify.
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Step 3.2.1
Divide each term in by .
Step 3.2.2
Simplify the left side.
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Step 3.2.2.1
Cancel the common factor of .
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Step 3.2.2.1.1
Cancel the common factor.
Step 3.2.2.1.2
Divide by .
Step 3.2.3
Simplify the right side.
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Step 3.2.3.1
Combine the numerators over the common denominator.
Step 3.2.3.2
To write as a fraction with a common denominator, multiply by .
Step 3.2.3.3
Simplify terms.
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Step 3.2.3.3.1
Combine and .
Step 3.2.3.3.2
Combine the numerators over the common denominator.
Step 3.2.3.4
Simplify the numerator.
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Step 3.2.3.4.1
Apply the distributive property.
Step 3.2.3.4.2
Multiply by .
Step 3.2.3.4.3
Multiply by .
Step 3.2.3.4.4
Add and .
Step 3.2.3.5
Multiply the numerator by the reciprocal of the denominator.
Step 3.2.3.6
Multiply .
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Step 3.2.3.6.1
Multiply by .
Step 3.2.3.6.2
Multiply by .