2y-56=-2(4+5y)

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Solution for 2y-56=-2(4+5y) equation:


Simplifying
2y + -56 = -2(4 + 5y)

Reorder the terms:
-56 + 2y = -2(4 + 5y)
-56 + 2y = (4 * -2 + 5y * -2)
-56 + 2y = (-8 + -10y)

Solving
-56 + 2y = -8 + -10y

Solving for variable 'y'.

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

Add '10y' to each side of the equation.
-56 + 2y + 10y = -8 + -10y + 10y

Combine like terms: 2y + 10y = 12y
-56 + 12y = -8 + -10y + 10y

Combine like terms: -10y + 10y = 0
-56 + 12y = -8 + 0
-56 + 12y = -8

Add '56' to each side of the equation.
-56 + 56 + 12y = -8 + 56

Combine like terms: -56 + 56 = 0
0 + 12y = -8 + 56
12y = -8 + 56

Combine like terms: -8 + 56 = 48
12y = 48

Divide each side by '12'.
y = 4

Simplifying
y = 4

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