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

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


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

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

Reorder the terms:
31 + 2y = -7(-7 + y)
31 + 2y = (-7 * -7 + y * -7)
31 + 2y = (49 + -7y)

Solving
31 + 2y = 49 + -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 = 49 + -7y + 7y

Combine like terms: 2y + 7y = 9y
31 + 9y = 49 + -7y + 7y

Combine like terms: -7y + 7y = 0
31 + 9y = 49 + 0
31 + 9y = 49

Add '-31' to each side of the equation.
31 + -31 + 9y = 49 + -31

Combine like terms: 31 + -31 = 0
0 + 9y = 49 + -31
9y = 49 + -31

Combine like terms: 49 + -31 = 18
9y = 18

Divide each side by '9'.
y = 2

Simplifying
y = 2

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