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

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


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

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

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

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

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

Combine like terms: 45 + 24 = 69
69 + 6y = -4(1 + 3y) + -1(4 + -3(y + 2) + -2(2 + -5))
69 + 6y = (1 * -4 + 3y * -4) + -1(4 + -3(y + 2) + -2(2 + -5))
69 + 6y = (-4 + -12y) + -1(4 + -3(y + 2) + -2(2 + -5))

Reorder the terms:
69 + 6y = -4 + -12y + -1(4 + -3(2 + y) + -2(2 + -5))
69 + 6y = -4 + -12y + -1(4 + (2 * -3 + y * -3) + -2(2 + -5))
69 + 6y = -4 + -12y + -1(4 + (-6 + -3y) + -2(2 + -5))

Combine like terms: 2 + -5 = -3
69 + 6y = -4 + -12y + -1(4 + -6 + -3y + -2(-3))

Multiply -2 * -3
69 + 6y = -4 + -12y + -1(4 + -6 + -3y + 6)

Reorder the terms:
69 + 6y = -4 + -12y + -1(4 + -6 + 6 + -3y)

Combine like terms: 4 + -6 = -2
69 + 6y = -4 + -12y + -1(-2 + 6 + -3y)

Combine like terms: -2 + 6 = 4
69 + 6y = -4 + -12y + -1(4 + -3y)
69 + 6y = -4 + -12y + (4 * -1 + -3y * -1)
69 + 6y = -4 + -12y + (-4 + 3y)

Reorder the terms:
69 + 6y = -4 + -4 + -12y + 3y

Combine like terms: -4 + -4 = -8
69 + 6y = -8 + -12y + 3y

Combine like terms: -12y + 3y = -9y
69 + 6y = -8 + -9y

Solving
69 + 6y = -8 + -9y

Solving for variable 'y'.

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

Add '9y' to each side of the equation.
69 + 6y + 9y = -8 + -9y + 9y

Combine like terms: 6y + 9y = 15y
69 + 15y = -8 + -9y + 9y

Combine like terms: -9y + 9y = 0
69 + 15y = -8 + 0
69 + 15y = -8

Add '-69' to each side of the equation.
69 + -69 + 15y = -8 + -69

Combine like terms: 69 + -69 = 0
0 + 15y = -8 + -69
15y = -8 + -69

Combine like terms: -8 + -69 = -77
15y = -77

Divide each side by '15'.
y = -5.133333333

Simplifying
y = -5.133333333

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