2(y-4)=-6y+56

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Solution for 2(y-4)=-6y+56 equation:


Simplifying
2(y + -4) = -6y + 56

Reorder the terms:
2(-4 + y) = -6y + 56
(-4 * 2 + y * 2) = -6y + 56
(-8 + 2y) = -6y + 56

Reorder the terms:
-8 + 2y = 56 + -6y

Solving
-8 + 2y = 56 + -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.
-8 + 2y + 6y = 56 + -6y + 6y

Combine like terms: 2y + 6y = 8y
-8 + 8y = 56 + -6y + 6y

Combine like terms: -6y + 6y = 0
-8 + 8y = 56 + 0
-8 + 8y = 56

Add '8' to each side of the equation.
-8 + 8 + 8y = 56 + 8

Combine like terms: -8 + 8 = 0
0 + 8y = 56 + 8
8y = 56 + 8

Combine like terms: 56 + 8 = 64
8y = 64

Divide each side by '8'.
y = 8

Simplifying
y = 8

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