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

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


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

Reorder the terms:
-3(-5 + 3y) + -1y = -4(y + -5)
(-5 * -3 + 3y * -3) + -1y = -4(y + -5)
(15 + -9y) + -1y = -4(y + -5)

Combine like terms: -9y + -1y = -10y
15 + -10y = -4(y + -5)

Reorder the terms:
15 + -10y = -4(-5 + y)
15 + -10y = (-5 * -4 + y * -4)
15 + -10y = (20 + -4y)

Solving
15 + -10y = 20 + -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.
15 + -10y + 4y = 20 + -4y + 4y

Combine like terms: -10y + 4y = -6y
15 + -6y = 20 + -4y + 4y

Combine like terms: -4y + 4y = 0
15 + -6y = 20 + 0
15 + -6y = 20

Add '-15' to each side of the equation.
15 + -15 + -6y = 20 + -15

Combine like terms: 15 + -15 = 0
0 + -6y = 20 + -15
-6y = 20 + -15

Combine like terms: 20 + -15 = 5
-6y = 5

Divide each side by '-6'.
y = -0.8333333333

Simplifying
y = -0.8333333333

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