3(-y+6)=3y+2(y+1)

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Solution for 3(-y+6)=3y+2(y+1) equation: 


Simplifying
3(-1y + 6) = 3y + 2(y + 1)

Reorder the terms:
3(6 + -1y) = 3y + 2(y + 1)
(6 * 3 + -1y * 3) = 3y + 2(y + 1)
(18 + -3y) = 3y + 2(y + 1)

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

Reorder the terms:
18 + -3y = 2 + 3y + 2y

Combine like terms: 3y + 2y = 5y
18 + -3y = 2 + 5y

Solving
18 + -3y = 2 + 5y

Solving for variable 'y'.

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

Add '-5y' to each side of the equation.
18 + -3y + -5y = 2 + 5y + -5y

Combine like terms: -3y + -5y = -8y
18 + -8y = 2 + 5y + -5y

Combine like terms: 5y + -5y = 0
18 + -8y = 2 + 0
18 + -8y = 2

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

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

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

Divide each side by '-8'.
y = 2

Simplifying
y = 2

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