-7(y-5)=-8y

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Solution for -7(y-5)=-8y equation:


Simplifying
-7(y + -5) = -8y

Reorder the terms:
-7(-5 + y) = -8y
(-5 * -7 + y * -7) = -8y
(35 + -7y) = -8y

Solving
35 + -7y = -8y

Solving for variable 'y'.

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

Add '8y' to each side of the equation.
35 + -7y + 8y = -8y + 8y

Combine like terms: -7y + 8y = 1y
35 + 1y = -8y + 8y

Combine like terms: -8y + 8y = 0
35 + 1y = 0

Add '-35' to each side of the equation.
35 + -35 + 1y = 0 + -35

Combine like terms: 35 + -35 = 0
0 + 1y = 0 + -35
1y = 0 + -35

Combine like terms: 0 + -35 = -35
1y = -35

Divide each side by '1'.
y = -35

Simplifying
y = -35

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