-3(4y-10)-y=-3(y-5)

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Solution for -3(4y-10)-y=-3(y-5) equation: 


Simplifying
-3(4y + -10) + -1y = -3(y + -5)

Reorder the terms:
-3(-10 + 4y) + -1y = -3(y + -5)
(-10 * -3 + 4y * -3) + -1y = -3(y + -5)
(30 + -12y) + -1y = -3(y + -5)

Combine like terms: -12y + -1y = -13y
30 + -13y = -3(y + -5)

Reorder the terms:
30 + -13y = -3(-5 + y)
30 + -13y = (-5 * -3 + y * -3)
30 + -13y = (15 + -3y)

Solving
30 + -13y = 15 + -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.
30 + -13y + 3y = 15 + -3y + 3y

Combine like terms: -13y + 3y = -10y
30 + -10y = 15 + -3y + 3y

Combine like terms: -3y + 3y = 0
30 + -10y = 15 + 0
30 + -10y = 15

Add '-30' to each side of the equation.
30 + -30 + -10y = 15 + -30

Combine like terms: 30 + -30 = 0
0 + -10y = 15 + -30
-10y = 15 + -30

Combine like terms: 15 + -30 = -15
-10y = -15

Divide each side by '-10'.
y = 1.5

Simplifying
y = 1.5

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