Basic Math Examples

Solve for y y/5-y/10+2=y+2
Step 1
Simplify .
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Step 1.1
To write as a fraction with a common denominator, multiply by .
Step 1.2
Write each expression with a common denominator of , by multiplying each by an appropriate factor of .
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Step 1.2.1
Multiply by .
Step 1.2.2
Multiply by .
Step 1.3
Combine the numerators over the common denominator.
Step 1.4
Subtract from .
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Step 1.4.1
Reorder and .
Step 1.4.2
Subtract from .
Step 2
Move all terms containing to the left 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 each term.
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Step 2.5.1
Simplify the numerator.
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Step 2.5.1.1
Factor out of .
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Step 2.5.1.1.1
Raise to the power of .
Step 2.5.1.1.2
Factor out of .
Step 2.5.1.1.3
Factor out of .
Step 2.5.1.1.4
Factor out of .
Step 2.5.1.2
Multiply by .
Step 2.5.1.3
Subtract from .
Step 2.5.2
Move to the left of .
Step 2.5.3
Move the negative in front of the fraction.
Step 3
Move all terms not containing to the right side of the equation.
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Step 3.1
Subtract from both sides of the equation.
Step 3.2
Subtract from .
Step 4
Set the numerator equal to zero.
Step 5
Divide each term in by and simplify.
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Step 5.1
Divide each term in by .
Step 5.2
Simplify the left side.
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Step 5.2.1
Cancel the common factor of .
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Step 5.2.1.1
Cancel the common factor.
Step 5.2.1.2
Divide by .
Step 5.3
Simplify the right side.
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Step 5.3.1
Divide by .