-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 = -16
2y = -16

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

Simplifying
y = -8

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