3(y+12)-5(y)=22

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Solution for 3(y+12)-5(y)=22 equation: 


Simplifying
3(y + 12) + -5(y) = 22

Reorder the terms:
3(12 + y) + -5(y) = 22
(12 * 3 + y * 3) + -5(y) = 22
(36 + 3y) + -5(y) = 22

Combine like terms: 3y + -5y = -2y
36 + -2y = 22

Solving
36 + -2y = 22

Solving for variable 'y'.

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

Add '-36' to each side of the equation.
36 + -36 + -2y = 22 + -36

Combine like terms: 36 + -36 = 0
0 + -2y = 22 + -36
-2y = 22 + -36

Combine like terms: 22 + -36 = -14
-2y = -14

Divide each side by '-2'.
y = 7

Simplifying
y = 7

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