-22=2y+3(y-4)

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Solution for -22=2y+3(y-4) equation: 


Simplifying
-22 = 2y + 3(y + -4)

Reorder the terms:
-22 = 2y + 3(-4 + y)
-22 = 2y + (-4 * 3 + y * 3)
-22 = 2y + (-12 + 3y)

Reorder the terms:
-22 = -12 + 2y + 3y

Combine like terms: 2y + 3y = 5y
-22 = -12 + 5y

Solving
-22 = -12 + 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.
-22 + -5y = -12 + 5y + -5y

Combine like terms: 5y + -5y = 0
-22 + -5y = -12 + 0
-22 + -5y = -12

Add '22' to each side of the equation.
-22 + 22 + -5y = -12 + 22

Combine like terms: -22 + 22 = 0
0 + -5y = -12 + 22
-5y = -12 + 22

Combine like terms: -12 + 22 = 10
-5y = 10

Divide each side by '-5'.
y = -2

Simplifying
y = -2

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