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

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


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

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

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

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

Solving
30 + -16y = 12 + -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 + -16y + 3y = 12 + -3y + 3y

Combine like terms: -16y + 3y = -13y
30 + -13y = 12 + -3y + 3y

Combine like terms: -3y + 3y = 0
30 + -13y = 12 + 0
30 + -13y = 12

Add '-30' to each side of the equation.
30 + -30 + -13y = 12 + -30

Combine like terms: 30 + -30 = 0
0 + -13y = 12 + -30
-13y = 12 + -30

Combine like terms: 12 + -30 = -18
-13y = -18

Divide each side by '-13'.
y = 1.384615385

Simplifying
y = 1.384615385

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