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

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


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

Reorder the terms:
-5(-6 + 3y) + -1y = -4(y + -3)
(-6 * -5 + 3y * -5) + -1y = -4(y + -3)
(30 + -15y) + -1y = -4(y + -3)

Combine like terms: -15y + -1y = -16y
30 + -16y = -4(y + -3)

Reorder the terms:
30 + -16y = -4(-3 + y)
30 + -16y = (-3 * -4 + y * -4)
30 + -16y = (12 + -4y)

Solving
30 + -16y = 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.
30 + -16y + 4y = 12 + -4y + 4y

Combine like terms: -16y + 4y = -12y
30 + -12y = 12 + -4y + 4y

Combine like terms: -4y + 4y = 0
30 + -12y = 12 + 0
30 + -12y = 12

Add '-30' to each side of the equation.
30 + -30 + -12y = 12 + -30

Combine like terms: 30 + -30 = 0
0 + -12y = 12 + -30
-12y = 12 + -30

Combine like terms: 12 + -30 = -18
-12y = -18

Divide each side by '-12'.
y = 1.5

Simplifying
y = 1.5

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