5(y+8)=-40(y-1)-90

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Solution for 5(y+8)=-40(y-1)-90 equation: 


Simplifying
5(y + 8) = -40(y + -1) + -90

Reorder the terms:
5(8 + y) = -40(y + -1) + -90
(8 * 5 + y * 5) = -40(y + -1) + -90
(40 + 5y) = -40(y + -1) + -90

Reorder the terms:
40 + 5y = -40(-1 + y) + -90
40 + 5y = (-1 * -40 + y * -40) + -90
40 + 5y = (40 + -40y) + -90

Reorder the terms:
40 + 5y = 40 + -90 + -40y

Combine like terms: 40 + -90 = -50
40 + 5y = -50 + -40y

Solving
40 + 5y = -50 + -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 + 5y + 40y = -50 + -40y + 40y

Combine like terms: 5y + 40y = 45y
40 + 45y = -50 + -40y + 40y

Combine like terms: -40y + 40y = 0
40 + 45y = -50 + 0
40 + 45y = -50

Add '-40' to each side of the equation.
40 + -40 + 45y = -50 + -40

Combine like terms: 40 + -40 = 0
0 + 45y = -50 + -40
45y = -50 + -40

Combine like terms: -50 + -40 = -90
45y = -90

Divide each side by '45'.
y = -2

Simplifying
y = -2

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