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

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


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

Reorder the terms:
-3(-5 + 4y) + -1y = -3(y + -3)
(-5 * -3 + 4y * -3) + -1y = -3(y + -3)
(15 + -12y) + -1y = -3(y + -3)

Combine like terms: -12y + -1y = -13y
15 + -13y = -3(y + -3)

Reorder the terms:
15 + -13y = -3(-3 + y)
15 + -13y = (-3 * -3 + y * -3)
15 + -13y = (9 + -3y)

Solving
15 + -13y = 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.
15 + -13y + 3y = 9 + -3y + 3y

Combine like terms: -13y + 3y = -10y
15 + -10y = 9 + -3y + 3y

Combine like terms: -3y + 3y = 0
15 + -10y = 9 + 0
15 + -10y = 9

Add '-15' to each side of the equation.
15 + -15 + -10y = 9 + -15

Combine like terms: 15 + -15 = 0
0 + -10y = 9 + -15
-10y = 9 + -15

Combine like terms: 9 + -15 = -6
-10y = -6

Divide each side by '-10'.
y = 0.6

Simplifying
y = 0.6

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