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

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


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

Reorder the terms:
-2(-10 + 3y) + -1y = -4(y + -4)
(-10 * -2 + 3y * -2) + -1y = -4(y + -4)
(20 + -6y) + -1y = -4(y + -4)

Combine like terms: -6y + -1y = -7y
20 + -7y = -4(y + -4)

Reorder the terms:
20 + -7y = -4(-4 + y)
20 + -7y = (-4 * -4 + y * -4)
20 + -7y = (16 + -4y)

Solving
20 + -7y = 16 + -4y

Solving for variable 'y'.

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

Add '4y' to each side of the equation.
20 + -7y + 4y = 16 + -4y + 4y

Combine like terms: -7y + 4y = -3y
20 + -3y = 16 + -4y + 4y

Combine like terms: -4y + 4y = 0
20 + -3y = 16 + 0
20 + -3y = 16

Add '-20' to each side of the equation.
20 + -20 + -3y = 16 + -20

Combine like terms: 20 + -20 = 0
0 + -3y = 16 + -20
-3y = 16 + -20

Combine like terms: 16 + -20 = -4
-3y = -4

Divide each side by '-3'.
y = 1.333333333

Simplifying
y = 1.333333333

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