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

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


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

Reorder the terms:
-4(-10 + 3y) + -1y = -3(y + -3)
(-10 * -4 + 3y * -4) + -1y = -3(y + -3)
(40 + -12y) + -1y = -3(y + -3)

Combine like terms: -12y + -1y = -13y
40 + -13y = -3(y + -3)

Reorder the terms:
40 + -13y = -3(-3 + y)
40 + -13y = (-3 * -3 + y * -3)
40 + -13y = (9 + -3y)

Solving
40 + -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.
40 + -13y + 3y = 9 + -3y + 3y

Combine like terms: -13y + 3y = -10y
40 + -10y = 9 + -3y + 3y

Combine like terms: -3y + 3y = 0
40 + -10y = 9 + 0
40 + -10y = 9

Add '-40' to each side of the equation.
40 + -40 + -10y = 9 + -40

Combine like terms: 40 + -40 = 0
0 + -10y = 9 + -40
-10y = 9 + -40

Combine like terms: 9 + -40 = -31
-10y = -31

Divide each side by '-10'.
y = 3.1

Simplifying
y = 3.1

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