-2(y+3)=3(y+4)+7

Solution for -2(y+3)=3(y+4)+7 equation:

Simplifying
-2(y + 3) = 3(y + 4) + 7

Reorder the terms:
-2(3 + y) = 3(y + 4) + 7
(3 * -2 + y * -2) = 3(y + 4) + 7
(-6 + -2y) = 3(y + 4) + 7

Reorder the terms:
-6 + -2y = 3(4 + y) + 7
-6 + -2y = (4 * 3 + y * 3) + 7
-6 + -2y = (12 + 3y) + 7

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

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

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

Solving for variable 'y'.

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

Add '-3y' to each side of the equation.
-6 + -2y + -3y = 19 + 3y + -3y

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

Combine like terms: 3y + -3y = 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