-5(3y-9)-y=-2(y-3)

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Solution for -5(3y-9)-y=-2(y-3) equation:


Simplifying
-5(3y + -9) + -1y = -2(y + -3)

Reorder the terms:
-5(-9 + 3y) + -1y = -2(y + -3)
(-9 * -5 + 3y * -5) + -1y = -2(y + -3)
(45 + -15y) + -1y = -2(y + -3)

Combine like terms: -15y + -1y = -16y
45 + -16y = -2(y + -3)

Reorder the terms:
45 + -16y = -2(-3 + y)
45 + -16y = (-3 * -2 + y * -2)
45 + -16y = (6 + -2y)

Solving
45 + -16y = 6 + -2y

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '2y' to each side of the equation.
45 + -16y + 2y = 6 + -2y + 2y

Combine like terms: -16y + 2y = -14y
45 + -14y = 6 + -2y + 2y

Combine like terms: -2y + 2y = 0
45 + -14y = 6 + 0
45 + -14y = 6

Add '-45' to each side of the equation.
45 + -45 + -14y = 6 + -45

Combine like terms: 45 + -45 = 0
0 + -14y = 6 + -45
-14y = 6 + -45

Combine like terms: 6 + -45 = -39
-14y = -39

Divide each side by '-14'.
y = 2.785714286

Simplifying
y = 2.785714286

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