2(y-8)=-6y-40

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Solution for 2(y-8)=-6y-40 equation:


Simplifying
2(y + -8) = -6y + -40

Reorder the terms:
2(-8 + y) = -6y + -40
(-8 * 2 + y * 2) = -6y + -40
(-16 + 2y) = -6y + -40

Reorder the terms:
-16 + 2y = -40 + -6y

Solving
-16 + 2y = -40 + -6y

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '6y' to each side of the equation.
-16 + 2y + 6y = -40 + -6y + 6y

Combine like terms: 2y + 6y = 8y
-16 + 8y = -40 + -6y + 6y

Combine like terms: -6y + 6y = 0
-16 + 8y = -40 + 0
-16 + 8y = -40

Add '16' to each side of the equation.
-16 + 16 + 8y = -40 + 16

Combine like terms: -16 + 16 = 0
0 + 8y = -40 + 16
8y = -40 + 16

Combine like terms: -40 + 16 = -24
8y = -24

Divide each side by '8'.
y = -3

Simplifying
y = -3

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