-3y+6=2(y+8)

Solution for -3y+6=2(y+8) equation:

Simplifying
-3y + 6 = 2(y + 8)

Reorder the terms:
6 + -3y = 2(y + 8)

Reorder the terms:
6 + -3y = 2(8 + y)
6 + -3y = (8 * 2 + y * 2)
6 + -3y = (16 + 2y)

Solving
6 + -3y = 16 + 2y

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '-2y' to each side of the equation.
6 + -3y + -2y = 16 + 2y + -2y

Combine like terms: -3y + -2y = -5y
6 + -5y = 16 + 2y + -2y

Combine like terms: 2y + -2y = 0
6 + -5y = 16 + 0
6 + -5y = 16

Add '-6' to each side of the equation.
6 + -6 + -5y = 16 + -6

Combine like terms: 6 + -6 = 0
0 + -5y = 16 + -6
-5y = 16 + -6

Combine like terms: 16 + -6 = 10
-5y = 10

Divide each side by '-5'.
y = -2

Simplifying
y = -2