17=-3(23-y)+2(y-2)

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Solution for 17=-3(23-y)+2(y-2) equation: 


Simplifying
17 = -3(23 + -1y) + 2(y + -2)
17 = (23 * -3 + -1y * -3) + 2(y + -2)
17 = (-69 + 3y) + 2(y + -2)

Reorder the terms:
17 = -69 + 3y + 2(-2 + y)
17 = -69 + 3y + (-2 * 2 + y * 2)
17 = -69 + 3y + (-4 + 2y)

Reorder the terms:
17 = -69 + -4 + 3y + 2y

Combine like terms: -69 + -4 = -73
17 = -73 + 3y + 2y

Combine like terms: 3y + 2y = 5y
17 = -73 + 5y

Solving
17 = -73 + 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.
17 + -5y = -73 + 5y + -5y

Combine like terms: 5y + -5y = 0
17 + -5y = -73 + 0
17 + -5y = -73

Add '-17' to each side of the equation.
17 + -17 + -5y = -73 + -17

Combine like terms: 17 + -17 = 0
0 + -5y = -73 + -17
-5y = -73 + -17

Combine like terms: -73 + -17 = -90
-5y = -90

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

Simplifying
y = 18

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