5(3y+8)=-40(y-1)-440

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Solution for 5(3y+8)=-40(y-1)-440 equation: 


Simplifying
5(3y + 8) = -40(y + -1) + -440

Reorder the terms:
5(8 + 3y) = -40(y + -1) + -440
(8 * 5 + 3y * 5) = -40(y + -1) + -440
(40 + 15y) = -40(y + -1) + -440

Reorder the terms:
40 + 15y = -40(-1 + y) + -440
40 + 15y = (-1 * -40 + y * -40) + -440
40 + 15y = (40 + -40y) + -440

Reorder the terms:
40 + 15y = 40 + -440 + -40y

Combine like terms: 40 + -440 = -400
40 + 15y = -400 + -40y

Solving
40 + 15y = -400 + -40y

Solving for variable 'y'.

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

Add '40y' to each side of the equation.
40 + 15y + 40y = -400 + -40y + 40y

Combine like terms: 15y + 40y = 55y
40 + 55y = -400 + -40y + 40y

Combine like terms: -40y + 40y = 0
40 + 55y = -400 + 0
40 + 55y = -400

Add '-40' to each side of the equation.
40 + -40 + 55y = -400 + -40

Combine like terms: 40 + -40 = 0
0 + 55y = -400 + -40
55y = -400 + -40

Combine like terms: -400 + -40 = -440
55y = -440

Divide each side by '55'.
y = -8

Simplifying
y = -8

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