-5-1(15y-1)=2(7y-6)-y

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Solution for -5-1(15y-1)=2(7y-6)-y equation:


Simplifying
-5 + -1(15y + -1) = 2(7y + -6) + -1y

Reorder the terms:
-5 + -1(-1 + 15y) = 2(7y + -6) + -1y
-5 + (-1 * -1 + 15y * -1) = 2(7y + -6) + -1y
-5 + (1 + -15y) = 2(7y + -6) + -1y

Combine like terms: -5 + 1 = -4
-4 + -15y = 2(7y + -6) + -1y

Reorder the terms:
-4 + -15y = 2(-6 + 7y) + -1y
-4 + -15y = (-6 * 2 + 7y * 2) + -1y
-4 + -15y = (-12 + 14y) + -1y

Combine like terms: 14y + -1y = 13y
-4 + -15y = -12 + 13y

Solving
-4 + -15y = -12 + 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 = -12 + 13y + -13y

Combine like terms: -15y + -13y = -28y
-4 + -28y = -12 + 13y + -13y

Combine like terms: 13y + -13y = 0
-4 + -28y = -12 + 0
-4 + -28y = -12

Add '4' to each side of the equation.
-4 + 4 + -28y = -12 + 4

Combine like terms: -4 + 4 = 0
0 + -28y = -12 + 4
-28y = -12 + 4

Combine like terms: -12 + 4 = -8
-28y = -8

Divide each side by '-28'.
y = 0.2857142857

Simplifying
y = 0.2857142857

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