35=-2(23-y)+3(y-3)

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Solution for 35=-2(23-y)+3(y-3) equation:


Simplifying
35 = -2(23 + -1y) + 3(y + -3)
35 = (23 * -2 + -1y * -2) + 3(y + -3)
35 = (-46 + 2y) + 3(y + -3)

Reorder the terms:
35 = -46 + 2y + 3(-3 + y)
35 = -46 + 2y + (-3 * 3 + y * 3)
35 = -46 + 2y + (-9 + 3y)

Reorder the terms:
35 = -46 + -9 + 2y + 3y

Combine like terms: -46 + -9 = -55
35 = -55 + 2y + 3y

Combine like terms: 2y + 3y = 5y
35 = -55 + 5y

Solving
35 = -55 + 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.
35 + -5y = -55 + 5y + -5y

Combine like terms: 5y + -5y = 0
35 + -5y = -55 + 0
35 + -5y = -55

Add '-35' to each side of the equation.
35 + -35 + -5y = -55 + -35

Combine like terms: 35 + -35 = 0
0 + -5y = -55 + -35
-5y = -55 + -35

Combine like terms: -55 + -35 = -90
-5y = -90

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

Simplifying
y = 18

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