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

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

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

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

Reorder the terms:
-6 + 5y + -2y = -12

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

Solving
-6 + 3y = -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 + 3y = -12 + 6

Combine like terms: -6 + 6 = 0
0 + 3y = -12 + 6
3y = -12 + 6

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

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

Simplifying
y = -2