Basic Math Examples

Solve for y (2y-1)/5-(y+3)/7=0
Step 1
Simplify .
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Step 1.1
To write as a fraction with a common denominator, multiply by .
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 1.3.3
Multiply by .
Step 1.3.4
Multiply by .
Step 1.4
Combine the numerators over the common denominator.
Step 1.5
Simplify the numerator.
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Step 1.5.1
Apply the distributive property.
Step 1.5.2
Multiply by .
Step 1.5.3
Multiply by .
Step 1.5.4
Apply the distributive property.
Step 1.5.5
Multiply by .
Step 1.5.6
Apply the distributive property.
Step 1.5.7
Multiply by .
Step 1.5.8
Multiply by .
Step 1.5.9
Subtract from .
Step 1.5.10
Subtract from .
Step 2
Set the numerator equal to zero.
Step 3
Solve the equation 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 4
The result can be shown in multiple forms.
Exact Form:
Decimal Form:
Mixed Number Form: