-5y+2(-2y+3)=9-3(-9-y)

Solution for -5y+2(-2y+3)=9-3(-9-y) equation:

Simplifying
-5y + 2(-2y + 3) = 9 + -3(-9 + -1y)

Reorder the terms:
-5y + 2(3 + -2y) = 9 + -3(-9 + -1y)
-5y + (3 * 2 + -2y * 2) = 9 + -3(-9 + -1y)
-5y + (6 + -4y) = 9 + -3(-9 + -1y)

Reorder the terms:
6 + -5y + -4y = 9 + -3(-9 + -1y)

Combine like terms: -5y + -4y = -9y
6 + -9y = 9 + -3(-9 + -1y)
6 + -9y = 9 + (-9 * -3 + -1y * -3)
6 + -9y = 9 + (27 + 3y)

Combine like terms: 9 + 27 = 36
6 + -9y = 36 + 3y

Solving
6 + -9y = 36 + 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 + -9y + -3y = 36 + 3y + -3y

Combine like terms: -9y + -3y = -12y
6 + -12y = 36 + 3y + -3y

Combine like terms: 3y + -3y = 0
6 + -12y = 36 + 0
6 + -12y = 36

Add '-6' to each side of the equation.
6 + -6 + -12y = 36 + -6

Combine like terms: 6 + -6 = 0
0 + -12y = 36 + -6
-12y = 36 + -6

Combine like terms: 36 + -6 = 30
-12y = 30

Divide each side by '-12'.
y = -2.5

Simplifying
y = -2.5