Solve for y -20y+15=2-16y+11

$- 20 y + 15 = 2 - 16 y + 11$

Add $2$ and $11$ .

$- 20 y + 15 = - 16 y + 13$

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

Add $16 y$ to both sides of the equation.

$- 20 y + 15 + 16 y = 13$

Add $- 20 y$ and $16 y$ .

$- 4 y + 15 = 13$

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

Subtract $15$ from both sides of the equation.

$- 4 y = 13 - 15$

Subtract $15$ from $13$ .

$- 4 y = - 2$

Divide each term in $- 4 y = - 2$ by $- 4$ and simplify.

Divide each term in $- 4 y = - 2$ by $- 4$ .

$\frac{- 4 y}{- 4} = \frac{- 2}{- 4}$

Simplify the left side.

Cancel the common factor of $- 4$ .

Cancel the common factor.

$\frac{- 4 y}{- 4} = \frac{- 2}{- 4}$

Divide $y$ by $1$ .

$y = \frac{- 2}{- 4}$

Simplify the right side.

Cancel the common factor of $- 2$ and $- 4$ .

Factor $- 2$ out of $- 2$ .

$y = \frac{- 2 (1)}{- 4}$

Cancel the common factors.

Factor $- 2$ out of $- 4$ .

$y = \frac{- 2 \cdot 1}{- 2 \cdot 2}$

Cancel the common factor.

$y = \frac{- 2 \cdot 1}{- 2 \cdot 2}$

Rewrite the expression.

$y = \frac{1}{2}$

The result can be shown in multiple forms.

Exact Form:

$y = \frac{1}{2}$

Decimal Form:

$y = 0.5$