45-(4-2y-4(y+7))=-4(1+3(y+2)-2(2y-5))

Solution for 45-(4-2y-4(y+7))=-4(1+3(y+2)-2(2y-5)) equation:

Simplifying
45 + -1(4 + -2y + -4(y + 7)) = -4(1 + 3(y + 2) + -2(2y + -5))

Reorder the terms:
45 + -1(4 + -2y + -4(7 + y)) = -4(1 + 3(y + 2) + -2(2y + -5))
45 + -1(4 + -2y + (7 * -4 + y * -4)) = -4(1 + 3(y + 2) + -2(2y + -5))
45 + -1(4 + -2y + (-28 + -4y)) = -4(1 + 3(y + 2) + -2(2y + -5))

Reorder the terms:
45 + -1(4 + -28 + -2y + -4y) = -4(1 + 3(y + 2) + -2(2y + -5))

Combine like terms: 4 + -28 = -24
45 + -1(-24 + -2y + -4y) = -4(1 + 3(y + 2) + -2(2y + -5))

Combine like terms: -2y + -4y = -6y
45 + -1(-24 + -6y) = -4(1 + 3(y + 2) + -2(2y + -5))
45 + (-24 * -1 + -6y * -1) = -4(1 + 3(y + 2) + -2(2y + -5))
45 + (24 + 6y) = -4(1 + 3(y + 2) + -2(2y + -5))

Combine like terms: 45 + 24 = 69
69 + 6y = -4(1 + 3(y + 2) + -2(2y + -5))

Reorder the terms:
69 + 6y = -4(1 + 3(2 + y) + -2(2y + -5))
69 + 6y = -4(1 + (2 * 3 + y * 3) + -2(2y + -5))
69 + 6y = -4(1 + (6 + 3y) + -2(2y + -5))

Reorder the terms:
69 + 6y = -4(1 + 6 + 3y + -2(-5 + 2y))
69 + 6y = -4(1 + 6 + 3y + (-5 * -2 + 2y * -2))
69 + 6y = -4(1 + 6 + 3y + (10 + -4y))

Reorder the terms:
69 + 6y = -4(1 + 6 + 10 + 3y + -4y)

Combine like terms: 1 + 6 = 7
69 + 6y = -4(7 + 10 + 3y + -4y)

Combine like terms: 7 + 10 = 17
69 + 6y = -4(17 + 3y + -4y)

Combine like terms: 3y + -4y = -1y
69 + 6y = -4(17 + -1y)
69 + 6y = (17 * -4 + -1y * -4)
69 + 6y = (-68 + 4y)

Solving
69 + 6y = -68 + 4y

Solving for variable 'y'.

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

Add '-4y' to each side of the equation.
69 + 6y + -4y = -68 + 4y + -4y

Combine like terms: 6y + -4y = 2y
69 + 2y = -68 + 4y + -4y

Combine like terms: 4y + -4y = 0
69 + 2y = -68 + 0
69 + 2y = -68

Add '-69' to each side of the equation.
69 + -69 + 2y = -68 + -69

Combine like terms: 69 + -69 = 0
0 + 2y = -68 + -69
2y = -68 + -69

Combine like terms: -68 + -69 = -137
2y = -137

Divide each side by '2'.
y = -68.5

Simplifying
y = -68.5