3(y-1)+8(y+1)=-11

Solution for 3(y-1)+8(y+1)=-11 equation:

Simplifying
3(y + -1) + 8(y + 1) = -11

Reorder the terms:
3(-1 + y) + 8(y + 1) = -11
(-1 * 3 + y * 3) + 8(y + 1) = -11
(-3 + 3y) + 8(y + 1) = -11

Reorder the terms:
-3 + 3y + 8(1 + y) = -11
-3 + 3y + (1 * 8 + y * 8) = -11
-3 + 3y + (8 + 8y) = -11

Reorder the terms:
-3 + 8 + 3y + 8y = -11

Combine like terms: -3 + 8 = 5
5 + 3y + 8y = -11

Combine like terms: 3y + 8y = 11y
5 + 11y = -11

Solving
5 + 11y = -11

Solving for variable 'y'.

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

Add '-5' to each side of the equation.
5 + -5 + 11y = -11 + -5

Combine like terms: 5 + -5 = 0
0 + 11y = -11 + -5
11y = -11 + -5

Combine like terms: -11 + -5 = -16
11y = -16

Divide each side by '11'.
y = -1.454545455

Simplifying
y = -1.454545455