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

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


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

Reorder the terms:
-2(-2 + 4y) + -1y = -3(y + -3)
(-2 * -2 + 4y * -2) + -1y = -3(y + -3)
(4 + -8y) + -1y = -3(y + -3)

Combine like terms: -8y + -1y = -9y
4 + -9y = -3(y + -3)

Reorder the terms:
4 + -9y = -3(-3 + y)
4 + -9y = (-3 * -3 + y * -3)
4 + -9y = (9 + -3y)

Solving
4 + -9y = 9 + -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.
4 + -9y + 3y = 9 + -3y + 3y

Combine like terms: -9y + 3y = -6y
4 + -6y = 9 + -3y + 3y

Combine like terms: -3y + 3y = 0
4 + -6y = 9 + 0
4 + -6y = 9

Add '-4' to each side of the equation.
4 + -4 + -6y = 9 + -4

Combine like terms: 4 + -4 = 0
0 + -6y = 9 + -4
-6y = 9 + -4

Combine like terms: 9 + -4 = 5
-6y = 5

Divide each side by '-6'.
y = -0.8333333333

Simplifying
y = -0.8333333333

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