42=-2(22-y)+3(y-3)

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Solution for 42=-2(22-y)+3(y-3) equation: 


Simplifying
42 = -2(22 + -1y) + 3(y + -3)
42 = (22 * -2 + -1y * -2) + 3(y + -3)
42 = (-44 + 2y) + 3(y + -3)

Reorder the terms:
42 = -44 + 2y + 3(-3 + y)
42 = -44 + 2y + (-3 * 3 + y * 3)
42 = -44 + 2y + (-9 + 3y)

Reorder the terms:
42 = -44 + -9 + 2y + 3y

Combine like terms: -44 + -9 = -53
42 = -53 + 2y + 3y

Combine like terms: 2y + 3y = 5y
42 = -53 + 5y

Solving
42 = -53 + 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.
42 + -5y = -53 + 5y + -5y

Combine like terms: 5y + -5y = 0
42 + -5y = -53 + 0
42 + -5y = -53

Add '-42' to each side of the equation.
42 + -42 + -5y = -53 + -42

Combine like terms: 42 + -42 = 0
0 + -5y = -53 + -42
-5y = -53 + -42

Combine like terms: -53 + -42 = -95
-5y = -95

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

Simplifying
y = 19

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