-5(4y-9)-y=-3(y-3)

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Solution for -5(4y-9)-y=-3(y-3) equation:


Simplifying
-5(4y + -9) + -1y = -3(y + -3)

Reorder the terms:
-5(-9 + 4y) + -1y = -3(y + -3)
(-9 * -5 + 4y * -5) + -1y = -3(y + -3)
(45 + -20y) + -1y = -3(y + -3)

Combine like terms: -20y + -1y = -21y
45 + -21y = -3(y + -3)

Reorder the terms:
45 + -21y = -3(-3 + y)
45 + -21y = (-3 * -3 + y * -3)
45 + -21y = (9 + -3y)

Solving
45 + -21y = 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.
45 + -21y + 3y = 9 + -3y + 3y

Combine like terms: -21y + 3y = -18y
45 + -18y = 9 + -3y + 3y

Combine like terms: -3y + 3y = 0
45 + -18y = 9 + 0
45 + -18y = 9

Add '-45' to each side of the equation.
45 + -45 + -18y = 9 + -45

Combine like terms: 45 + -45 = 0
0 + -18y = 9 + -45
-18y = 9 + -45

Combine like terms: 9 + -45 = -36
-18y = -36

Divide each side by '-18'.
y = 2

Simplifying
y = 2

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