Rewrite the absolute value equation as four equations without absolute value bars.

After simplifying, there are only two unique equations to be solved.

Combine and .

Combine and .

Move all terms containing to the left side of the equation.

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 .

Multiply and .

Multiply by .

Multiply and .

Multiply by .

Combine the numerators over the common denominator.

Simplify each term.

Simplify the numerator.

Factor out of .

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.

Add to both sides of the equation.

Add and .

Multiply both sides of the equation by .

Simplify both sides of the equation.

Cancel the common factor of .

Cancel the common factor.

Rewrite the expression.

Multiply by .

Combine and .

Simplify .

Combine and .

Apply the distributive property.

Multiply by .

Move all terms containing to the left side of the equation.

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 .

Multiply and .

Multiply by .

Multiply and .

Multiply by .

Combine the numerators over the common denominator.

Simplify each term.

Simplify the numerator.

Factor out of .

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.

Add to both sides of the equation.

Add and .

Multiply both sides of the equation by .

Simplify both sides of the equation.

Simplify .

Cancel the common factor of .

Cancel the common factor.

Rewrite the expression.

Cancel the common factor of .

Factor out of .

Cancel the common factor.

Rewrite the expression.

Multiply .

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|