Solve for y 3y+5-7y=4(-y+1)+5

$3 y + 5 - 7 y = 4 (- y + 1) + 5$

Step 1

Subtract $7 y$ from $3 y$ .

$- 4 y + 5 = 4 (- y + 1) + 5$

Step 2

Simplify $4 (- y + 1) + 5$ .

Simplify each term.

Apply the distributive property.

$- 4 y + 5 = 4 (- y) + 4 \cdot 1 + 5$

Multiply $- 1$ by $4$ .

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

Multiply $4$ by $1$ .

$- 4 y + 5 = - 4 y + 4 + 5$

Add $4$ and $5$ .

$- 4 y + 5 = - 4 y + 9$

Step 3

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

Add $4 y$ to both sides of the equation.

$- 4 y + 5 + 4 y = 9$

Combine the opposite terms in $- 4 y + 5 + 4 y$ .

Add $- 4 y$ and $4 y$ .

$0 + 5 = 9$

Add $0$ and $5$ .

$5 = 9$

Step 4

Since $5 \neq 9$ , there are no solutions.

No solution