-5-(15y-1)=-2(7y-16-y)-y

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Solution for -5-(15y-1)=-2(7y-16-y)-y equation:


Simplifying
-5 + -1(15y + -1) = -2(7y + -16 + -1y) + -1y

Reorder the terms:
-5 + -1(-1 + 15y) = -2(7y + -16 + -1y) + -1y
-5 + (-1 * -1 + 15y * -1) = -2(7y + -16 + -1y) + -1y
-5 + (1 + -15y) = -2(7y + -16 + -1y) + -1y

Combine like terms: -5 + 1 = -4
-4 + -15y = -2(7y + -16 + -1y) + -1y

Reorder the terms:
-4 + -15y = -2(-16 + 7y + -1y) + -1y

Combine like terms: 7y + -1y = 6y
-4 + -15y = -2(-16 + 6y) + -1y
-4 + -15y = (-16 * -2 + 6y * -2) + -1y
-4 + -15y = (32 + -12y) + -1y

Combine like terms: -12y + -1y = -13y
-4 + -15y = 32 + -13y

Solving
-4 + -15y = 32 + -13y

Solving for variable 'y'.

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

Add '13y' to each side of the equation.
-4 + -15y + 13y = 32 + -13y + 13y

Combine like terms: -15y + 13y = -2y
-4 + -2y = 32 + -13y + 13y

Combine like terms: -13y + 13y = 0
-4 + -2y = 32 + 0
-4 + -2y = 32

Add '4' to each side of the equation.
-4 + 4 + -2y = 32 + 4

Combine like terms: -4 + 4 = 0
0 + -2y = 32 + 4
-2y = 32 + 4

Combine like terms: 32 + 4 = 36
-2y = 36

Divide each side by '-2'.
y = -18

Simplifying
y = -18

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