-4(y-6)=(-9+y)(2)

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Solution for -4(y-6)=(-9+y)(2) equation:


Simplifying
-4(y + -6) = (-9 + y)(2)

Reorder the terms:
-4(-6 + y) = (-9 + y)(2)
(-6 * -4 + y * -4) = (-9 + y)(2)
(24 + -4y) = (-9 + y)(2)

Reorder the terms for easier multiplication:
24 + -4y = 2(-9 + y)
24 + -4y = (-9 * 2 + y * 2)
24 + -4y = (-18 + 2y)

Solving
24 + -4y = -18 + 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.
24 + -4y + -2y = -18 + 2y + -2y

Combine like terms: -4y + -2y = -6y
24 + -6y = -18 + 2y + -2y

Combine like terms: 2y + -2y = 0
24 + -6y = -18 + 0
24 + -6y = -18

Add '-24' to each side of the equation.
24 + -24 + -6y = -18 + -24

Combine like terms: 24 + -24 = 0
0 + -6y = -18 + -24
-6y = -18 + -24

Combine like terms: -18 + -24 = -42
-6y = -42

Divide each side by '-6'.
y = 7

Simplifying
y = 7

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