6(y-3)=8-2y

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Solution for 6(y-3)=8-2y equation:


Simplifying
6(y + -3) = 8 + -2y

Reorder the terms:
6(-3 + y) = 8 + -2y
(-3 * 6 + y * 6) = 8 + -2y
(-18 + 6y) = 8 + -2y

Solving
-18 + 6y = 8 + -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 = 8 + -2y + 2y

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

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

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

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

Combine like terms: 8 + 18 = 26
8y = 26

Divide each side by '8'.
y = 3.25

Simplifying
y = 3.25

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