9y-6=-2(y-8)

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Solution for 9y-6=-2(y-8) equation:


Simplifying
9y + -6 = -2(y + -8)

Reorder the terms:
-6 + 9y = -2(y + -8)

Reorder the terms:
-6 + 9y = -2(-8 + y)
-6 + 9y = (-8 * -2 + y * -2)
-6 + 9y = (16 + -2y)

Solving
-6 + 9y = 16 + -2y

Solving for variable 'y'.

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

Add '2y' to each side of the equation.
-6 + 9y + 2y = 16 + -2y + 2y

Combine like terms: 9y + 2y = 11y
-6 + 11y = 16 + -2y + 2y

Combine like terms: -2y + 2y = 0
-6 + 11y = 16 + 0
-6 + 11y = 16

Add '6' to each side of the equation.
-6 + 6 + 11y = 16 + 6

Combine like terms: -6 + 6 = 0
0 + 11y = 16 + 6
11y = 16 + 6

Combine like terms: 16 + 6 = 22
11y = 22

Divide each side by '11'.
y = 2

Simplifying
y = 2

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