2(y-4)-5y=22

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Solution for 2(y-4)-5y=22 equation: 


Simplifying
2(y + -4) + -5y = 22

Reorder the terms:
2(-4 + y) + -5y = 22
(-4 * 2 + y * 2) + -5y = 22
(-8 + 2y) + -5y = 22

Combine like terms: 2y + -5y = -3y
-8 + -3y = 22

Solving
-8 + -3y = 22

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '8' to each side of the equation.
-8 + 8 + -3y = 22 + 8

Combine like terms: -8 + 8 = 0
0 + -3y = 22 + 8
-3y = 22 + 8

Combine like terms: 22 + 8 = 30
-3y = 30

Divide each side by '-3'.
y = -10

Simplifying
y = -10

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