-8y+16=9(y-2)

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


Simplifying
-8y + 16 = 9(y + -2)

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

Reorder the terms:
16 + -8y = 9(-2 + y)
16 + -8y = (-2 * 9 + y * 9)
16 + -8y = (-18 + 9y)

Solving
16 + -8y = -18 + 9y

Solving for variable 'y'.

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

Add '-9y' to each side of the equation.
16 + -8y + -9y = -18 + 9y + -9y

Combine like terms: -8y + -9y = -17y
16 + -17y = -18 + 9y + -9y

Combine like terms: 9y + -9y = 0
16 + -17y = -18 + 0
16 + -17y = -18

Add '-16' to each side of the equation.
16 + -16 + -17y = -18 + -16

Combine like terms: 16 + -16 = 0
0 + -17y = -18 + -16
-17y = -18 + -16

Combine like terms: -18 + -16 = -34
-17y = -34

Divide each side by '-17'.
y = 2

Simplifying
y = 2

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