6(y+3)=2y-2

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


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

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

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

Solving
18 + 6y = -2 + 2y

Solving for variable 'y'.

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

Add '-2y' to each side of the equation.
18 + 6y + -2y = -2 + 2y + -2y

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

Combine like terms: 2y + -2y = 0
18 + 4y = -2 + 0
18 + 4y = -2

Add '-18' to each side of the equation.
18 + -18 + 4y = -2 + -18

Combine like terms: 18 + -18 = 0
0 + 4y = -2 + -18
4y = -2 + -18

Combine like terms: -2 + -18 = -20
4y = -20

Divide each side by '4'.
y = -5

Simplifying
y = -5

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