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

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


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

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

Reorder the terms:
31 + -2y = 7(-2 + y)
31 + -2y = (-2 * 7 + y * 7)
31 + -2y = (-14 + 7y)

Solving
31 + -2y = -14 + 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 = -14 + 7y + -7y

Combine like terms: -2y + -7y = -9y
31 + -9y = -14 + 7y + -7y

Combine like terms: 7y + -7y = 0
31 + -9y = -14 + 0
31 + -9y = -14

Add '-31' to each side of the equation.
31 + -31 + -9y = -14 + -31

Combine like terms: 31 + -31 = 0
0 + -9y = -14 + -31
-9y = -14 + -31

Combine like terms: -14 + -31 = -45
-9y = -45

Divide each side by '-9'.
y = 5

Simplifying
y = 5

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