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

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

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

Reorder the terms:
3(3 + y) + -2(y + -1) = 5(y + -5)
(3 * 3 + y * 3) + -2(y + -1) = 5(y + -5)
(9 + 3y) + -2(y + -1) = 5(y + -5)

Reorder the terms:
9 + 3y + -2(-1 + y) = 5(y + -5)
9 + 3y + (-1 * -2 + y * -2) = 5(y + -5)
9 + 3y + (2 + -2y) = 5(y + -5)

Reorder the terms:
9 + 2 + 3y + -2y = 5(y + -5)

Combine like terms: 9 + 2 = 11
11 + 3y + -2y = 5(y + -5)

Combine like terms: 3y + -2y = 1y
11 + 1y = 5(y + -5)

Reorder the terms:
11 + 1y = 5(-5 + y)
11 + 1y = (-5 * 5 + y * 5)
11 + 1y = (-25 + 5y)

Solving
11 + 1y = -25 + 5y

Solving for variable 'y'.

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

Add '-5y' to each side of the equation.
11 + 1y + -5y = -25 + 5y + -5y

Combine like terms: 1y + -5y = -4y
11 + -4y = -25 + 5y + -5y

Combine like terms: 5y + -5y = 0
11 + -4y = -25 + 0
11 + -4y = -25

Add '-11' to each side of the equation.
11 + -11 + -4y = -25 + -11

Combine like terms: 11 + -11 = 0
0 + -4y = -25 + -11
-4y = -25 + -11

Combine like terms: -25 + -11 = -36
-4y = -36

Divide each side by '-4'.
y = 9

Simplifying
y = 9