-2(2y-10)-y=-3(y-4)

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Solution for -2(2y-10)-y=-3(y-4) equation: 


Simplifying
-2(2y + -10) + -1y = -3(y + -4)

Reorder the terms:
-2(-10 + 2y) + -1y = -3(y + -4)
(-10 * -2 + 2y * -2) + -1y = -3(y + -4)
(20 + -4y) + -1y = -3(y + -4)

Combine like terms: -4y + -1y = -5y
20 + -5y = -3(y + -4)

Reorder the terms:
20 + -5y = -3(-4 + y)
20 + -5y = (-4 * -3 + y * -3)
20 + -5y = (12 + -3y)

Solving
20 + -5y = 12 + -3y

Solving for variable 'y'.

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

Add '3y' to each side of the equation.
20 + -5y + 3y = 12 + -3y + 3y

Combine like terms: -5y + 3y = -2y
20 + -2y = 12 + -3y + 3y

Combine like terms: -3y + 3y = 0
20 + -2y = 12 + 0
20 + -2y = 12

Add '-20' to each side of the equation.
20 + -20 + -2y = 12 + -20

Combine like terms: 20 + -20 = 0
0 + -2y = 12 + -20
-2y = 12 + -20

Combine like terms: 12 + -20 = -8
-2y = -8

Divide each side by '-2'.
y = 4

Simplifying
y = 4

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