2(y-1)+2(3y+2)=18

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Solution for 2(y-1)+2(3y+2)=18 equation: 


Simplifying
2(y + -1) + 2(3y + 2) = 18

Reorder the terms:
2(-1 + y) + 2(3y + 2) = 18
(-1 * 2 + y * 2) + 2(3y + 2) = 18
(-2 + 2y) + 2(3y + 2) = 18

Reorder the terms:
-2 + 2y + 2(2 + 3y) = 18
-2 + 2y + (2 * 2 + 3y * 2) = 18
-2 + 2y + (4 + 6y) = 18

Reorder the terms:
-2 + 4 + 2y + 6y = 18

Combine like terms: -2 + 4 = 2
2 + 2y + 6y = 18

Combine like terms: 2y + 6y = 8y
2 + 8y = 18

Solving
2 + 8y = 18

Solving for variable 'y'.

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

Add '-2' to each side of the equation.
2 + -2 + 8y = 18 + -2

Combine like terms: 2 + -2 = 0
0 + 8y = 18 + -2
8y = 18 + -2

Combine like terms: 18 + -2 = 16
8y = 16

Divide each side by '8'.
y = 2

Simplifying
y = 2

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