Basic Math Examples

Simplify (y-(2y-7)/7)/(10/35+2/(5y))
Step 1
Cancel the common factor of and .
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Step 1.1
Factor out of .
Step 1.2
Cancel the common factors.
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Step 1.2.1
Factor out of .
Step 1.2.2
Cancel the common factor.
Step 1.2.3
Rewrite the expression.
Step 2
Multiply the numerator and denominator of the fraction by .
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Step 2.1
Multiply by .
Step 2.2
Combine.
Step 3
Apply the distributive property.
Step 4
Simplify by cancelling.
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Step 4.1
Cancel the common factor of .
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Step 4.1.1
Move the leading negative in into the numerator.
Step 4.1.2
Factor out of .
Step 4.1.3
Cancel the common factor.
Step 4.1.4
Rewrite the expression.
Step 4.2
Multiply by .
Step 4.3
Cancel the common factor of .
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Step 4.3.1
Factor out of .
Step 4.3.2
Cancel the common factor.
Step 4.3.3
Rewrite the expression.
Step 4.4
Multiply by .
Step 4.5
Cancel the common factor of .
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Step 4.5.1
Factor out of .
Step 4.5.2
Cancel the common factor.
Step 4.5.3
Rewrite the expression.
Step 4.6
Multiply by .
Step 5
Simplify the numerator.
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Step 5.1
Multiply by by adding the exponents.
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Step 5.1.1
Move .
Step 5.1.2
Multiply by .
Step 5.2
Apply the distributive property.
Step 5.3
Rewrite using the commutative property of multiplication.
Step 5.4
Multiply by .
Step 5.5
Simplify each term.
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Step 5.5.1
Multiply by by adding the exponents.
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Step 5.5.1.1
Move .
Step 5.5.1.2
Multiply by .
Step 5.5.2
Multiply by .
Step 5.6
Subtract from .
Step 5.7
Factor out of .
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Step 5.7.1
Factor out of .
Step 5.7.2
Factor out of .
Step 5.7.3
Factor out of .
Step 6
Simplify terms.
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Step 6.1
Factor out of .
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Step 6.1.1
Factor out of .
Step 6.1.2
Factor out of .
Step 6.1.3
Factor out of .
Step 6.2
Cancel the common factor of .
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Step 6.2.1
Cancel the common factor.
Step 6.2.2
Rewrite the expression.