3*y+12-5*y=22

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


Simplifying
3y + 12 + -5y = 22

Reorder the terms:
12 + 3y + -5y = 22

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

Solving
12 + -2y = 22

Solving for variable 'y'.

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

Add '-12' to each side of the equation.
12 + -12 + -2y = 22 + -12

Combine like terms: 12 + -12 = 0
0 + -2y = 22 + -12
-2y = 22 + -12

Combine like terms: 22 + -12 = 10
-2y = 10

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

Simplifying
y = -5

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