2(y+5)-3(y+1)=

Solution for 2(y+5)-3(y+1)= equation:

Simplifying
2(y + 5) + -3(y + 1) = 0

Reorder the terms:
2(5 + y) + -3(y + 1) = 0
(5 * 2 + y * 2) + -3(y + 1) = 0
(10 + 2y) + -3(y + 1) = 0

Reorder the terms:
10 + 2y + -3(1 + y) = 0
10 + 2y + (1 * -3 + y * -3) = 0
10 + 2y + (-3 + -3y) = 0

Reorder the terms:
10 + -3 + 2y + -3y = 0

Combine like terms: 10 + -3 = 7
7 + 2y + -3y = 0

Combine like terms: 2y + -3y = -1y
7 + -1y = 0

Solving
7 + -1y = 0

Solving for variable 'y'.

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

Add '-7' to each side of the equation.
7 + -7 + -1y = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -1y = 0 + -7
-1y = 0 + -7

Combine like terms: 0 + -7 = -7
-1y = -7

Divide each side by '-1'.
y = 7

Simplifying
y = 7