-2y+31=-7(y-8)

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Solution for -2y+31=-7(y-8) equation: 


Simplifying
-2y + 31 = -7(y + -8)

Reorder the terms:
31 + -2y = -7(y + -8)

Reorder the terms:
31 + -2y = -7(-8 + y)
31 + -2y = (-8 * -7 + y * -7)
31 + -2y = (56 + -7y)

Solving
31 + -2y = 56 + -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.
31 + -2y + 7y = 56 + -7y + 7y

Combine like terms: -2y + 7y = 5y
31 + 5y = 56 + -7y + 7y

Combine like terms: -7y + 7y = 0
31 + 5y = 56 + 0
31 + 5y = 56

Add '-31' to each side of the equation.
31 + -31 + 5y = 56 + -31

Combine like terms: 31 + -31 = 0
0 + 5y = 56 + -31
5y = 56 + -31

Combine like terms: 56 + -31 = 25
5y = 25

Divide each side by '5'.
y = 5

Simplifying
y = 5

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