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

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


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

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

Combine like terms: -6y + -1y = -7y
20 + -7y = -2(y + -2)

Reorder the terms:
20 + -7y = -2(-2 + y)
20 + -7y = (-2 * -2 + y * -2)
20 + -7y = (4 + -2y)

Solving
20 + -7y = 4 + -2y

Solving for variable 'y'.

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

Add '2y' to each side of the equation.
20 + -7y + 2y = 4 + -2y + 2y

Combine like terms: -7y + 2y = -5y
20 + -5y = 4 + -2y + 2y

Combine like terms: -2y + 2y = 0
20 + -5y = 4 + 0
20 + -5y = 4

Add '-20' to each side of the equation.
20 + -20 + -5y = 4 + -20

Combine like terms: 20 + -20 = 0
0 + -5y = 4 + -20
-5y = 4 + -20

Combine like terms: 4 + -20 = -16
-5y = -16

Divide each side by '-5'.
y = 3.2

Simplifying
y = 3.2

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