-8(y-2)=5-7y

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Solution for -8(y-2)=5-7y equation: 


Simplifying
-8(y + -2) = 5 + -7y

Reorder the terms:
-8(-2 + y) = 5 + -7y
(-2 * -8 + y * -8) = 5 + -7y
(16 + -8y) = 5 + -7y

Solving
16 + -8y = 5 + -7y

Solving for variable 'y'.

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

Add '7y' to each side of the equation.
16 + -8y + 7y = 5 + -7y + 7y

Combine like terms: -8y + 7y = -1y
16 + -1y = 5 + -7y + 7y

Combine like terms: -7y + 7y = 0
16 + -1y = 5 + 0
16 + -1y = 5

Add '-16' to each side of the equation.
16 + -16 + -1y = 5 + -16

Combine like terms: 16 + -16 = 0
0 + -1y = 5 + -16
-1y = 5 + -16

Combine like terms: 5 + -16 = -11
-1y = -11

Divide each side by '-1'.
y = 11

Simplifying
y = 11

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