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

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


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

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

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

Reorder the terms:
16 + -15y = 2(-16 + 7y) + -1y
16 + -15y = (-16 * 2 + 7y * 2) + -1y
16 + -15y = (-32 + 14y) + -1y

Combine like terms: 14y + -1y = 13y
16 + -15y = -32 + 13y

Solving
16 + -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.
16 + -15y + -13y = -32 + 13y + -13y

Combine like terms: -15y + -13y = -28y
16 + -28y = -32 + 13y + -13y

Combine like terms: 13y + -13y = 0
16 + -28y = -32 + 0
16 + -28y = -32

Add '-16' to each side of the equation.
16 + -16 + -28y = -32 + -16

Combine like terms: 16 + -16 = 0
0 + -28y = -32 + -16
-28y = -32 + -16

Combine like terms: -32 + -16 = -48
-28y = -48

Divide each side by '-28'.
y = 1.714285714

Simplifying
y = 1.714285714

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