Solve for y y-5=-(4-y)

$y - 5 = - (4 - y)$

Step 1

Simplify $- (4 - y)$ .

Rewrite.

$y - 5 = 0 + 0 - (4 - y)$

Simplify by adding zeros.

$y - 5 = - (4 - y)$

Apply the distributive property.

$y - 5 = - 1 \cdot 4 - - y$

Multiply $- 1$ by $4$ .

$y - 5 = - 4 - - y$

Multiply $- - y$ .

Multiply $- 1$ by $- 1$ .

$y - 5 = - 4 + 1 y$

Multiply $y$ by $1$ .

$y - 5 = - 4 + y$

Step 2

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

Subtract $y$ from both sides of the equation.

$y - 5 - y = - 4$

Combine the opposite terms in $y - 5 - y$ .

Subtract $y$ from $y$ .

$0 - 5 = - 4$

Subtract $5$ from $0$ .

$- 5 = - 4$

Step 3

Since $- 5 \neq - 4$ , there are no solutions.

No solution