-5(3y-7)-y=-3(y-3)

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Solution for -5(3y-7)-y=-3(y-3) equation:


Simplifying
-5(3y + -7) + -1y = -3(y + -3)

Reorder the terms:
-5(-7 + 3y) + -1y = -3(y + -3)
(-7 * -5 + 3y * -5) + -1y = -3(y + -3)
(35 + -15y) + -1y = -3(y + -3)

Combine like terms: -15y + -1y = -16y
35 + -16y = -3(y + -3)

Reorder the terms:
35 + -16y = -3(-3 + y)
35 + -16y = (-3 * -3 + y * -3)
35 + -16y = (9 + -3y)

Solving
35 + -16y = 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.
35 + -16y + 3y = 9 + -3y + 3y

Combine like terms: -16y + 3y = -13y
35 + -13y = 9 + -3y + 3y

Combine like terms: -3y + 3y = 0
35 + -13y = 9 + 0
35 + -13y = 9

Add '-35' to each side of the equation.
35 + -35 + -13y = 9 + -35

Combine like terms: 35 + -35 = 0
0 + -13y = 9 + -35
-13y = 9 + -35

Combine like terms: 9 + -35 = -26
-13y = -26

Divide each side by '-13'.
y = 2

Simplifying
y = 2

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