13=-3(23-y)+2(y-4)

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Solution for 13=-3(23-y)+2(y-4) equation: 


Simplifying
13 = -3(23 + -1y) + 2(y + -4)
13 = (23 * -3 + -1y * -3) + 2(y + -4)
13 = (-69 + 3y) + 2(y + -4)

Reorder the terms:
13 = -69 + 3y + 2(-4 + y)
13 = -69 + 3y + (-4 * 2 + y * 2)
13 = -69 + 3y + (-8 + 2y)

Reorder the terms:
13 = -69 + -8 + 3y + 2y

Combine like terms: -69 + -8 = -77
13 = -77 + 3y + 2y

Combine like terms: 3y + 2y = 5y
13 = -77 + 5y

Solving
13 = -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.
13 + -5y = -77 + 5y + -5y

Combine like terms: 5y + -5y = 0
13 + -5y = -77 + 0
13 + -5y = -77

Add '-13' to each side of the equation.
13 + -13 + -5y = -77 + -13

Combine like terms: 13 + -13 = 0
0 + -5y = -77 + -13
-5y = -77 + -13

Combine like terms: -77 + -13 = -90
-5y = -90

Divide each side by '-5'.
y = 18

Simplifying
y = 18

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