-(2y-8)=9(y+4)

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Solution for -(2y-8)=9(y+4) equation:


Simplifying
-1(2y + -8) = 9(y + 4)

Reorder the terms:
-1(-8 + 2y) = 9(y + 4)
(-8 * -1 + 2y * -1) = 9(y + 4)
(8 + -2y) = 9(y + 4)

Reorder the terms:
8 + -2y = 9(4 + y)
8 + -2y = (4 * 9 + y * 9)
8 + -2y = (36 + 9y)

Solving
8 + -2y = 36 + 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.
8 + -2y + -9y = 36 + 9y + -9y

Combine like terms: -2y + -9y = -11y
8 + -11y = 36 + 9y + -9y

Combine like terms: 9y + -9y = 0
8 + -11y = 36 + 0
8 + -11y = 36

Add '-8' to each side of the equation.
8 + -8 + -11y = 36 + -8

Combine like terms: 8 + -8 = 0
0 + -11y = 36 + -8
-11y = 36 + -8

Combine like terms: 36 + -8 = 28
-11y = 28

Divide each side by '-11'.
y = -2.545454545

Simplifying
y = -2.545454545

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