-8(y-2)=-5y-5

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Solution for -8(y-2)=-5y-5 equation:


Simplifying
-8(y + -2) = -5y + -5

Reorder the terms:
-8(-2 + y) = -5y + -5
(-2 * -8 + y * -8) = -5y + -5
(16 + -8y) = -5y + -5

Reorder the terms:
16 + -8y = -5 + -5y

Solving
16 + -8y = -5 + -5y

Solving for variable 'y'.

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

Add '5y' to each side of the equation.
16 + -8y + 5y = -5 + -5y + 5y

Combine like terms: -8y + 5y = -3y
16 + -3y = -5 + -5y + 5y

Combine like terms: -5y + 5y = 0
16 + -3y = -5 + 0
16 + -3y = -5

Add '-16' to each side of the equation.
16 + -16 + -3y = -5 + -16

Combine like terms: 16 + -16 = 0
0 + -3y = -5 + -16
-3y = -5 + -16

Combine like terms: -5 + -16 = -21
-3y = -21

Divide each side by '-3'.
y = 7

Simplifying
y = 7

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