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

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


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

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

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

Solving
-18 + 6y = 6 + -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 = 6 + -2y + 2y

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

Combine like terms: -2y + 2y = 0
-18 + 8y = 6 + 0
-18 + 8y = 6

Add '18' to each side of the equation.
-18 + 18 + 8y = 6 + 18

Combine like terms: -18 + 18 = 0
0 + 8y = 6 + 18
8y = 6 + 18

Combine like terms: 6 + 18 = 24
8y = 24

Divide each side by '8'.
y = 3

Simplifying
y = 3

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