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

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


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

Reorder the terms:
-4(-6 + 4y) + -1y = -2(y + -3)
(-6 * -4 + 4y * -4) + -1y = -2(y + -3)
(24 + -16y) + -1y = -2(y + -3)

Combine like terms: -16y + -1y = -17y
24 + -17y = -2(y + -3)

Reorder the terms:
24 + -17y = -2(-3 + y)
24 + -17y = (-3 * -2 + y * -2)
24 + -17y = (6 + -2y)

Solving
24 + -17y = 6 + -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.
24 + -17y + 2y = 6 + -2y + 2y

Combine like terms: -17y + 2y = -15y
24 + -15y = 6 + -2y + 2y

Combine like terms: -2y + 2y = 0
24 + -15y = 6 + 0
24 + -15y = 6

Add '-24' to each side of the equation.
24 + -24 + -15y = 6 + -24

Combine like terms: 24 + -24 = 0
0 + -15y = 6 + -24
-15y = 6 + -24

Combine like terms: 6 + -24 = -18
-15y = -18

Divide each side by '-15'.
y = 1.2

Simplifying
y = 1.2

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