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

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


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

Reorder the terms:
-3(-10 + 3y) + -1y = -4(y + -3)
(-10 * -3 + 3y * -3) + -1y = -4(y + -3)
(30 + -9y) + -1y = -4(y + -3)

Combine like terms: -9y + -1y = -10y
30 + -10y = -4(y + -3)

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

Solving
30 + -10y = 12 + -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 + -10y + 4y = 12 + -4y + 4y

Combine like terms: -10y + 4y = -6y
30 + -6y = 12 + -4y + 4y

Combine like terms: -4y + 4y = 0
30 + -6y = 12 + 0
30 + -6y = 12

Add '-30' to each side of the equation.
30 + -30 + -6y = 12 + -30

Combine like terms: 30 + -30 = 0
0 + -6y = 12 + -30
-6y = 12 + -30

Combine like terms: 12 + -30 = -18
-6y = -18

Divide each side by '-6'.
y = 3

Simplifying
y = 3

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