-2(6y-9)-y=-4(y-3)

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Solution for -2(6y-9)-y=-4(y-3) equation:


Simplifying
-2(6y + -9) + -1y = -4(y + -3)

Reorder the terms:
-2(-9 + 6y) + -1y = -4(y + -3)
(-9 * -2 + 6y * -2) + -1y = -4(y + -3)
(18 + -12y) + -1y = -4(y + -3)

Combine like terms: -12y + -1y = -13y
18 + -13y = -4(y + -3)

Reorder the terms:
18 + -13y = -4(-3 + y)
18 + -13y = (-3 * -4 + y * -4)
18 + -13y = (12 + -4y)

Solving
18 + -13y = 12 + -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.
18 + -13y + 4y = 12 + -4y + 4y

Combine like terms: -13y + 4y = -9y
18 + -9y = 12 + -4y + 4y

Combine like terms: -4y + 4y = 0
18 + -9y = 12 + 0
18 + -9y = 12

Add '-18' to each side of the equation.
18 + -18 + -9y = 12 + -18

Combine like terms: 18 + -18 = 0
0 + -9y = 12 + -18
-9y = 12 + -18

Combine like terms: 12 + -18 = -6
-9y = -6

Divide each side by '-9'.
y = 0.6666666667

Simplifying
y = 0.6666666667

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