6(y-5)=-2y+18

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Solution for 6(y-5)=-2y+18 equation:


Simplifying
6(y + -5) = -2y + 18

Reorder the terms:
6(-5 + y) = -2y + 18
(-5 * 6 + y * 6) = -2y + 18
(-30 + 6y) = -2y + 18

Reorder the terms:
-30 + 6y = 18 + -2y

Solving
-30 + 6y = 18 + -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.
-30 + 6y + 2y = 18 + -2y + 2y

Combine like terms: 6y + 2y = 8y
-30 + 8y = 18 + -2y + 2y

Combine like terms: -2y + 2y = 0
-30 + 8y = 18 + 0
-30 + 8y = 18

Add '30' to each side of the equation.
-30 + 30 + 8y = 18 + 30

Combine like terms: -30 + 30 = 0
0 + 8y = 18 + 30
8y = 18 + 30

Combine like terms: 18 + 30 = 48
8y = 48

Divide each side by '8'.
y = 6

Simplifying
y = 6

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