17-(2y-2)=2(y-1)+3y

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Solution for 17-(2y-2)=2(y-1)+3y equation: 


Simplifying
17 + -1(2y + -2) = 2(y + -1) + 3y

Reorder the terms:
17 + -1(-2 + 2y) = 2(y + -1) + 3y
17 + (-2 * -1 + 2y * -1) = 2(y + -1) + 3y
17 + (2 + -2y) = 2(y + -1) + 3y

Combine like terms: 17 + 2 = 19
19 + -2y = 2(y + -1) + 3y

Reorder the terms:
19 + -2y = 2(-1 + y) + 3y
19 + -2y = (-1 * 2 + y * 2) + 3y
19 + -2y = (-2 + 2y) + 3y

Combine like terms: 2y + 3y = 5y
19 + -2y = -2 + 5y

Solving
19 + -2y = -2 + 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.
19 + -2y + -5y = -2 + 5y + -5y

Combine like terms: -2y + -5y = -7y
19 + -7y = -2 + 5y + -5y

Combine like terms: 5y + -5y = 0
19 + -7y = -2 + 0
19 + -7y = -2

Add '-19' to each side of the equation.
19 + -19 + -7y = -2 + -19

Combine like terms: 19 + -19 = 0
0 + -7y = -2 + -19
-7y = -2 + -19

Combine like terms: -2 + -19 = -21
-7y = -21

Divide each side by '-7'.
y = 3

Simplifying
y = 3

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