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

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


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

Reorder the terms:
-9 + 5y = -5(3y + 3) + -2y

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

Combine like terms: -15y + -2y = -17y
-9 + 5y = -15 + -17y

Solving
-9 + 5y = -15 + -17y

Solving for variable 'y'.

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

Add '17y' to each side of the equation.
-9 + 5y + 17y = -15 + -17y + 17y

Combine like terms: 5y + 17y = 22y
-9 + 22y = -15 + -17y + 17y

Combine like terms: -17y + 17y = 0
-9 + 22y = -15 + 0
-9 + 22y = -15

Add '9' to each side of the equation.
-9 + 9 + 22y = -15 + 9

Combine like terms: -9 + 9 = 0
0 + 22y = -15 + 9
22y = -15 + 9

Combine like terms: -15 + 9 = -6
22y = -6

Divide each side by '22'.
y = -0.2727272727

Simplifying
y = -0.2727272727

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