9y-2y+7=8y-16

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Solution for 9y-2y+7=8y-16 equation:


Simplifying
9y + -2y + 7 = 8y + -16

Reorder the terms:
7 + 9y + -2y = 8y + -16

Combine like terms: 9y + -2y = 7y
7 + 7y = 8y + -16

Reorder the terms:
7 + 7y = -16 + 8y

Solving
7 + 7y = -16 + 8y

Solving for variable 'y'.

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

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

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

Combine like terms: 8y + -8y = 0
7 + -1y = -16 + 0
7 + -1y = -16

Add '-7' to each side of the equation.
7 + -7 + -1y = -16 + -7

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

Combine like terms: -16 + -7 = -23
-1y = -23

Divide each side by '-1'.
y = 23

Simplifying
y = 23

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