-3(y+2)=2(y+6)+7

Solution for -3(y+2)=2(y+6)+7 equation:

Simplifying
-3(y + 2) = 2(y + 6) + 7

Reorder the terms:
-3(2 + y) = 2(y + 6) + 7
(2 * -3 + y * -3) = 2(y + 6) + 7
(-6 + -3y) = 2(y + 6) + 7

Reorder the terms:
-6 + -3y = 2(6 + y) + 7
-6 + -3y = (6 * 2 + y * 2) + 7
-6 + -3y = (12 + 2y) + 7

Reorder the terms:
-6 + -3y = 12 + 7 + 2y

Combine like terms: 12 + 7 = 19
-6 + -3y = 19 + 2y

Solving
-6 + -3y = 19 + 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 = 19 + 2y + -2y

Combine like terms: -3y + -2y = -5y
-6 + -5y = 19 + 2y + -2y

Combine like terms: 2y + -2y = 0
-6 + -5y = 19 + 0
-6 + -5y = 19

Add '6' to each side of the equation.
-6 + 6 + -5y = 19 + 6

Combine like terms: -6 + 6 = 0
0 + -5y = 19 + 6
-5y = 19 + 6

Combine like terms: 19 + 6 = 25
-5y = 25

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

Simplifying
y = -5