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

Solution for -5-(2+5y-3(y+2))=-9(2y-5)-(2(y-1)-3y+3) equation:

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

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

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

Combine like terms: 2 + -6 = -4
-5 + -1(-4 + 5y + -3y) = -9(2y + -5) + -1(2(y + -1) + -3y + 3)

Combine like terms: 5y + -3y = 2y
-5 + -1(-4 + 2y) = -9(2y + -5) + -1(2(y + -1) + -3y + 3)
-5 + (-4 * -1 + 2y * -1) = -9(2y + -5) + -1(2(y + -1) + -3y + 3)
-5 + (4 + -2y) = -9(2y + -5) + -1(2(y + -1) + -3y + 3)

Combine like terms: -5 + 4 = -1
-1 + -2y = -9(2y + -5) + -1(2(y + -1) + -3y + 3)

Reorder the terms:
-1 + -2y = -9(-5 + 2y) + -1(2(y + -1) + -3y + 3)
-1 + -2y = (-5 * -9 + 2y * -9) + -1(2(y + -1) + -3y + 3)
-1 + -2y = (45 + -18y) + -1(2(y + -1) + -3y + 3)

Reorder the terms:
-1 + -2y = 45 + -18y + -1(2(-1 + y) + -3y + 3)
-1 + -2y = 45 + -18y + -1((-1 * 2 + y * 2) + -3y + 3)
-1 + -2y = 45 + -18y + -1((-2 + 2y) + -3y + 3)

Reorder the terms:
-1 + -2y = 45 + -18y + -1(-2 + 3 + 2y + -3y)

Combine like terms: -2 + 3 = 1
-1 + -2y = 45 + -18y + -1(1 + 2y + -3y)

Combine like terms: 2y + -3y = -1y
-1 + -2y = 45 + -18y + -1(1 + -1y)
-1 + -2y = 45 + -18y + (1 * -1 + -1y * -1)
-1 + -2y = 45 + -18y + (-1 + 1y)

Reorder the terms:
-1 + -2y = 45 + -1 + -18y + 1y

Combine like terms: 45 + -1 = 44
-1 + -2y = 44 + -18y + 1y

Combine like terms: -18y + 1y = -17y
-1 + -2y = 44 + -17y

Solving
-1 + -2y = 44 + -17y

Solving for variable 'y'.

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

Add '17y' to each side of the equation.
-1 + -2y + 17y = 44 + -17y + 17y

Combine like terms: -2y + 17y = 15y
-1 + 15y = 44 + -17y + 17y

Combine like terms: -17y + 17y = 0
-1 + 15y = 44 + 0
-1 + 15y = 44

Add '1' to each side of the equation.
-1 + 1 + 15y = 44 + 1

Combine like terms: -1 + 1 = 0
0 + 15y = 44 + 1
15y = 44 + 1

Combine like terms: 44 + 1 = 45
15y = 45

Divide each side by '15'.
y = 3

Simplifying
y = 3