2(5y+1)=-2(y-1)-48

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Solution for 2(5y+1)=-2(y-1)-48 equation: 


Simplifying
2(5y + 1) = -2(y + -1) + -48

Reorder the terms:
2(1 + 5y) = -2(y + -1) + -48
(1 * 2 + 5y * 2) = -2(y + -1) + -48
(2 + 10y) = -2(y + -1) + -48

Reorder the terms:
2 + 10y = -2(-1 + y) + -48
2 + 10y = (-1 * -2 + y * -2) + -48
2 + 10y = (2 + -2y) + -48

Reorder the terms:
2 + 10y = 2 + -48 + -2y

Combine like terms: 2 + -48 = -46
2 + 10y = -46 + -2y

Solving
2 + 10y = -46 + -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.
2 + 10y + 2y = -46 + -2y + 2y

Combine like terms: 10y + 2y = 12y
2 + 12y = -46 + -2y + 2y

Combine like terms: -2y + 2y = 0
2 + 12y = -46 + 0
2 + 12y = -46

Add '-2' to each side of the equation.
2 + -2 + 12y = -46 + -2

Combine like terms: 2 + -2 = 0
0 + 12y = -46 + -2
12y = -46 + -2

Combine like terms: -46 + -2 = -48
12y = -48

Divide each side by '12'.
y = -4

Simplifying
y = -4

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