Solve for y |4/5y-7|=|3/4y+5|

Math
Rewrite the absolute value equation as four equations without absolute value bars.
After simplifying, there are only two unique equations to be solved.
Solve for .
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Combine and .
Combine and .
Move all terms containing to the left side of the equation.
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Subtract from both sides of the equation.
To write as a fraction with a common denominator, multiply by .
To write as a fraction with a common denominator, multiply by .
Write each expression with a common denominator of , by multiplying each by an appropriate factor of .
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Multiply and .
Multiply by .
Multiply and .
Multiply by .
Combine the numerators over the common denominator.
Simplify each term.
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Simplify the numerator.
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Factor out of .
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Factor out of .
Factor out of .
Factor out of .
Multiply by .
Multiply by .
Subtract from .
Multiply by .
Move all terms not containing to the right side of the equation.
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Add to both sides of the equation.
Add and .
Multiply both sides of the equation by .
Simplify both sides of the equation.
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Cancel the common factor of .
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Cancel the common factor.
Rewrite the expression.
Multiply by .
Solve for .
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Combine and .
Simplify .
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Combine and .
Apply the distributive property.
Multiply by .
Move all terms containing to the left side of the equation.
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Add to both sides of the equation.
To write as a fraction with a common denominator, multiply by .
To write as a fraction with a common denominator, multiply by .
Write each expression with a common denominator of , by multiplying each by an appropriate factor of .
Tap for more steps…
Multiply and .
Multiply by .
Multiply and .
Multiply by .
Combine the numerators over the common denominator.
Simplify each term.
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Simplify the numerator.
Tap for more steps…
Factor out of .
Tap for more steps…
Factor out of .
Factor out of .
Factor out of .
Multiply by .
Multiply by .
Add and .
Move to the left of .
Move all terms not containing to the right side of the equation.
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Add to both sides of the equation.
Add and .
Multiply both sides of the equation by .
Simplify both sides of the equation.
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Simplify .
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Cancel the common factor of .
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Cancel the common factor.
Rewrite the expression.
Cancel the common factor of .
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Factor out of .
Cancel the common factor.
Rewrite the expression.
Multiply .
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Combine and .
Multiply by .
List all of the solutions.
The result can be shown in multiple forms.
Exact Form:
Decimal Form:
Mixed Number Form:
Solve for y |4/5y-7|=|3/4y+5|

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