2(1-5y)+3(-1-y)-4(-7+2y)=-y

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Solution for 2(1-5y)+3(-1-y)-4(-7+2y)=-y equation: 


Simplifying
2(1 + -5y) + 3(-1 + -1y) + -4(-7 + 2y) = -1y
(1 * 2 + -5y * 2) + 3(-1 + -1y) + -4(-7 + 2y) = -1y
(2 + -10y) + 3(-1 + -1y) + -4(-7 + 2y) = -1y
2 + -10y + (-1 * 3 + -1y * 3) + -4(-7 + 2y) = -1y
2 + -10y + (-3 + -3y) + -4(-7 + 2y) = -1y
2 + -10y + -3 + -3y + (-7 * -4 + 2y * -4) = -1y
2 + -10y + -3 + -3y + (28 + -8y) = -1y

Reorder the terms:
2 + -3 + 28 + -10y + -3y + -8y = -1y

Combine like terms: 2 + -3 = -1
-1 + 28 + -10y + -3y + -8y = -1y

Combine like terms: -1 + 28 = 27
27 + -10y + -3y + -8y = -1y

Combine like terms: -10y + -3y = -13y
27 + -13y + -8y = -1y

Combine like terms: -13y + -8y = -21y
27 + -21y = -1y

Solving
27 + -21y = -1y

Solving for variable 'y'.

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

Add 'y' to each side of the equation.
27 + -21y + y = -1y + y

Combine like terms: -21y + y = -20y
27 + -20y = -1y + y

Combine like terms: -1y + y = 0
27 + -20y = 0

Add '-27' to each side of the equation.
27 + -27 + -20y = 0 + -27

Combine like terms: 27 + -27 = 0
0 + -20y = 0 + -27
-20y = 0 + -27

Combine like terms: 0 + -27 = -27
-20y = -27

Divide each side by '-20'.
y = 1.35

Simplifying
y = 1.35

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