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

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


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

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

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

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

Combine like terms: -12 + 4 = -8
-8 + 3y + 2y = 22

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

Solving
-8 + 5y = 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 + 5y = 22 + 8

Combine like terms: -8 + 8 = 0
0 + 5y = 22 + 8
5y = 22 + 8

Combine like terms: 22 + 8 = 30
5y = 30

Divide each side by '5'.
y = 6

Simplifying
y = 6

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