-5(4y-6)-y=-2(y-3)

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Solution for -5(4y-6)-y=-2(y-3) equation:


Simplifying
-5(4y + -6) + -1y = -2(y + -3)

Reorder the terms:
-5(-6 + 4y) + -1y = -2(y + -3)
(-6 * -5 + 4y * -5) + -1y = -2(y + -3)
(30 + -20y) + -1y = -2(y + -3)

Combine like terms: -20y + -1y = -21y
30 + -21y = -2(y + -3)

Reorder the terms:
30 + -21y = -2(-3 + y)
30 + -21y = (-3 * -2 + y * -2)
30 + -21y = (6 + -2y)

Solving
30 + -21y = 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.
30 + -21y + 2y = 6 + -2y + 2y

Combine like terms: -21y + 2y = -19y
30 + -19y = 6 + -2y + 2y

Combine like terms: -2y + 2y = 0
30 + -19y = 6 + 0
30 + -19y = 6

Add '-30' to each side of the equation.
30 + -30 + -19y = 6 + -30

Combine like terms: 30 + -30 = 0
0 + -19y = 6 + -30
-19y = 6 + -30

Combine like terms: 6 + -30 = -24
-19y = -24

Divide each side by '-19'.
y = 1.263157895

Simplifying
y = 1.263157895

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