Solve for y 4y-3a=13a

$4 y - 3 a = 13 a$

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

Add $3 a$ to both sides of the equation.

$4 y = 13 a + 3 a$

Add $13 a$ and $3 a$ .

$4 y = 16 a$

Divide each term in $4 y = 16 a$ by $4$ and simplify.

Divide each term in $4 y = 16 a$ by $4$ .

$\frac{4 y}{4} = \frac{16 a}{4}$

Simplify the left side.

Cancel the common factor of $4$ .

Cancel the common factor.

$\frac{4 y}{4} = \frac{16 a}{4}$

Divide $y$ by $1$ .

$y = \frac{16 a}{4}$

Simplify the right side.

Cancel the common factor of $16$ and $4$ .

Factor $4$ out of $16 a$ .

$y = \frac{4 (4 a)}{4}$

Cancel the common factors.

Factor $4$ out of $4$ .

$y = \frac{4 (4 a)}{4 (1)}$

Cancel the common factor.

$y = \frac{4 (4 a)}{4 \cdot 1}$

Rewrite the expression.

$y = \frac{4 a}{1}$

Divide $4 a$ by $1$ .

$y = 4 a$