5(y+7)=-35(y-1)-40

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Solution for 5(y+7)=-35(y-1)-40 equation: 


Simplifying
5(y + 7) = -35(y + -1) + -40

Reorder the terms:
5(7 + y) = -35(y + -1) + -40
(7 * 5 + y * 5) = -35(y + -1) + -40
(35 + 5y) = -35(y + -1) + -40

Reorder the terms:
35 + 5y = -35(-1 + y) + -40
35 + 5y = (-1 * -35 + y * -35) + -40
35 + 5y = (35 + -35y) + -40

Reorder the terms:
35 + 5y = 35 + -40 + -35y

Combine like terms: 35 + -40 = -5
35 + 5y = -5 + -35y

Solving
35 + 5y = -5 + -35y

Solving for variable 'y'.

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

Add '35y' to each side of the equation.
35 + 5y + 35y = -5 + -35y + 35y

Combine like terms: 5y + 35y = 40y
35 + 40y = -5 + -35y + 35y

Combine like terms: -35y + 35y = 0
35 + 40y = -5 + 0
35 + 40y = -5

Add '-35' to each side of the equation.
35 + -35 + 40y = -5 + -35

Combine like terms: 35 + -35 = 0
0 + 40y = -5 + -35
40y = -5 + -35

Combine like terms: -5 + -35 = -40
40y = -40

Divide each side by '40'.
y = -1

Simplifying
y = -1

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