18=-3(23-y)+2(y-4)

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Solution for 18=-3(23-y)+2(y-4) equation:


Simplifying
18 = -3(23 + -1y) + 2(y + -4)
18 = (23 * -3 + -1y * -3) + 2(y + -4)
18 = (-69 + 3y) + 2(y + -4)

Reorder the terms:
18 = -69 + 3y + 2(-4 + y)
18 = -69 + 3y + (-4 * 2 + y * 2)
18 = -69 + 3y + (-8 + 2y)

Reorder the terms:
18 = -69 + -8 + 3y + 2y

Combine like terms: -69 + -8 = -77
18 = -77 + 3y + 2y

Combine like terms: 3y + 2y = 5y
18 = -77 + 5y

Solving
18 = -77 + 5y

Solving for variable 'y'.

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

Add '-5y' to each side of the equation.
18 + -5y = -77 + 5y + -5y

Combine like terms: 5y + -5y = 0
18 + -5y = -77 + 0
18 + -5y = -77

Add '-18' to each side of the equation.
18 + -18 + -5y = -77 + -18

Combine like terms: 18 + -18 = 0
0 + -5y = -77 + -18
-5y = -77 + -18

Combine like terms: -77 + -18 = -95
-5y = -95

Divide each side by '-5'.
y = 19

Simplifying
y = 19

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