2(y-8)=5y-7

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


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

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

Reorder the terms:
-16 + 2y = -7 + 5y

Solving
-16 + 2y = -7 + 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 + 2y + -5y = -7 + 5y + -5y

Combine like terms: 2y + -5y = -3y
-16 + -3y = -7 + 5y + -5y

Combine like terms: 5y + -5y = 0
-16 + -3y = -7 + 0
-16 + -3y = -7

Add '16' to each side of the equation.
-16 + 16 + -3y = -7 + 16

Combine like terms: -16 + 16 = 0
0 + -3y = -7 + 16
-3y = -7 + 16

Combine like terms: -7 + 16 = 9
-3y = 9

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

Simplifying
y = -3

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