-2y-17-22=2y+3(y-6)

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Solution for -2y-17-22=2y+3(y-6) equation: 


Simplifying
-2y + -17 + -22 = 2y + 3(y + -6)

Reorder the terms:
-17 + -22 + -2y = 2y + 3(y + -6)

Combine like terms: -17 + -22 = -39
-39 + -2y = 2y + 3(y + -6)

Reorder the terms:
-39 + -2y = 2y + 3(-6 + y)
-39 + -2y = 2y + (-6 * 3 + y * 3)
-39 + -2y = 2y + (-18 + 3y)

Reorder the terms:
-39 + -2y = -18 + 2y + 3y

Combine like terms: 2y + 3y = 5y
-39 + -2y = -18 + 5y

Solving
-39 + -2y = -18 + 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.
-39 + -2y + -5y = -18 + 5y + -5y

Combine like terms: -2y + -5y = -7y
-39 + -7y = -18 + 5y + -5y

Combine like terms: 5y + -5y = 0
-39 + -7y = -18 + 0
-39 + -7y = -18

Add '39' to each side of the equation.
-39 + 39 + -7y = -18 + 39

Combine like terms: -39 + 39 = 0
0 + -7y = -18 + 39
-7y = -18 + 39

Combine like terms: -18 + 39 = 21
-7y = 21

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

Simplifying
y = -3

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