Solve for y 4y-7=5-2y

$4 y - 7 = 5 - 2 y$

Step 1

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

Add $2 y$ to both sides of the equation.

$4 y - 7 + 2 y = 5$

Add $4 y$ and $2 y$ .

$6 y - 7 = 5$

Step 2

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

Add $7$ to both sides of the equation.

$6 y = 5 + 7$

Add $5$ and $7$ .

$6 y = 12$

Step 3

Divide each term in $6 y = 12$ by $6$ and simplify.

Divide each term in $6 y = 12$ by $6$ .

$\frac{6 y}{6} = \frac{12}{6}$

Simplify the left side.

Cancel the common factor of $6$ .

Cancel the common factor.

$\frac{6 y}{6} = \frac{12}{6}$

Divide $y$ by $1$ .

$y = \frac{12}{6}$

Simplify the right side.

Divide $12$ by $6$ .

$y = 2$