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

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


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

Reorder the terms:
-3(-10 + 5y) + -1y = -4(y + -4)
(-10 * -3 + 5y * -3) + -1y = -4(y + -4)
(30 + -15y) + -1y = -4(y + -4)

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

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

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

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

Combine like terms: -4y + 4y = 0
30 + -12y = 16 + 0
30 + -12y = 16

Add '-30' to each side of the equation.
30 + -30 + -12y = 16 + -30

Combine like terms: 30 + -30 = 0
0 + -12y = 16 + -30
-12y = 16 + -30

Combine like terms: 16 + -30 = -14
-12y = -14

Divide each side by '-12'.
y = 1.166666667

Simplifying
y = 1.166666667

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