Solve for y 25=|-5y+5|

$25 = | - 5 y + 5 |$

Rewrite the equation as $| - 5 y + 5 | = 25$ .

$| - 5 y + 5 | = 25$

Remove the absolute value term. This creates a $\pm$ on the right side of the equation because $| x | = \pm x$ .

$- 5 y + 5 = \pm 25$

The complete solution is the result of both the positive and negative portions of the solution.

First, use the positive value of the $\pm$ to find the first solution.

$- 5 y + 5 = 25$

Move all terms not containing $y$ to the right side of the equation.

Subtract $5$ from both sides of the equation.

$- 5 y = 25 - 5$

Subtract $5$ from $25$ .

$- 5 y = 20$

Divide each term in $- 5 y = 20$ by $- 5$ and simplify.

Divide each term in $- 5 y = 20$ by $- 5$ .

$\frac{- 5 y}{- 5} = \frac{20}{- 5}$

Simplify the left side.

Cancel the common factor of $- 5$ .

Cancel the common factor.

$\frac{- 5 y}{- 5} = \frac{20}{- 5}$

Divide $y$ by $1$ .

$y = \frac{20}{- 5}$

Simplify the right side.

Divide $20$ by $- 5$ .

$y = - 4$

Next, use the negative value of the $\pm$ to find the second solution.

$- 5 y + 5 = - 25$

Move all terms not containing $y$ to the right side of the equation.

Subtract $5$ from both sides of the equation.

$- 5 y = - 25 - 5$

Subtract $5$ from $- 25$ .

$- 5 y = - 30$

Divide each term in $- 5 y = - 30$ by $- 5$ and simplify.

Divide each term in $- 5 y = - 30$ by $- 5$ .

$\frac{- 5 y}{- 5} = \frac{- 30}{- 5}$

Simplify the left side.

Cancel the common factor of $- 5$ .

Cancel the common factor.

$\frac{- 5 y}{- 5} = \frac{- 30}{- 5}$

Divide $y$ by $1$ .

$y = \frac{- 30}{- 5}$

Simplify the right side.

Divide $- 30$ by $- 5$ .

$y = 6$

The complete solution is the result of both the positive and negative portions of the solution.

$y = - 4, 6$

Solve for y 25=|-5y+5|

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