6(y-2)=2y-40

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Solution for 6(y-2)=2y-40 equation:


Simplifying
6(y + -2) = 2y + -40

Reorder the terms:
6(-2 + y) = 2y + -40
(-2 * 6 + y * 6) = 2y + -40
(-12 + 6y) = 2y + -40

Reorder the terms:
-12 + 6y = -40 + 2y

Solving
-12 + 6y = -40 + 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.
-12 + 6y + -2y = -40 + 2y + -2y

Combine like terms: 6y + -2y = 4y
-12 + 4y = -40 + 2y + -2y

Combine like terms: 2y + -2y = 0
-12 + 4y = -40 + 0
-12 + 4y = -40

Add '12' to each side of the equation.
-12 + 12 + 4y = -40 + 12

Combine like terms: -12 + 12 = 0
0 + 4y = -40 + 12
4y = -40 + 12

Combine like terms: -40 + 12 = -28
4y = -28

Divide each side by '4'.
y = -7

Simplifying
y = -7

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