3(y+6)=5y-2

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Solution for 3(y+6)=5y-2 equation: 


Simplifying
3(y + 6) = 5y + -2

Reorder the terms:
3(6 + y) = 5y + -2
(6 * 3 + y * 3) = 5y + -2
(18 + 3y) = 5y + -2

Reorder the terms:
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 = -2y
18 + -2y = -2 + 5y + -5y

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

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

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

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

Divide each side by '-2'.
y = 10

Simplifying
y = 10

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