-5y+3(y+2)=12

Solution for -5y+3(y+2)=12 equation:

Simplifying
-5y + 3(y + 2) = 12

Reorder the terms:
-5y + 3(2 + y) = 12
-5y + (2 * 3 + y * 3) = 12
-5y + (6 + 3y) = 12

Reorder the terms:
6 + -5y + 3y = 12

Combine like terms: -5y + 3y = -2y
6 + -2y = 12

Solving
6 + -2y = 12

Solving for variable 'y'.

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

Add '-6' to each side of the equation.
6 + -6 + -2y = 12 + -6

Combine like terms: 6 + -6 = 0
0 + -2y = 12 + -6
-2y = 12 + -6

Combine like terms: 12 + -6 = 6
-2y = 6

Divide each side by '-2'.
y = -3

Simplifying
y = -3