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

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


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

Reorder the terms:
3(9 + y) = -5(3y + -5) + 2y
(9 * 3 + y * 3) = -5(3y + -5) + 2y
(27 + 3y) = -5(3y + -5) + 2y

Reorder the terms:
27 + 3y = -5(-5 + 3y) + 2y
27 + 3y = (-5 * -5 + 3y * -5) + 2y
27 + 3y = (25 + -15y) + 2y

Combine like terms: -15y + 2y = -13y
27 + 3y = 25 + -13y

Solving
27 + 3y = 25 + -13y

Solving for variable 'y'.

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

Add '13y' to each side of the equation.
27 + 3y + 13y = 25 + -13y + 13y

Combine like terms: 3y + 13y = 16y
27 + 16y = 25 + -13y + 13y

Combine like terms: -13y + 13y = 0
27 + 16y = 25 + 0
27 + 16y = 25

Add '-27' to each side of the equation.
27 + -27 + 16y = 25 + -27

Combine like terms: 27 + -27 = 0
0 + 16y = 25 + -27
16y = 25 + -27

Combine like terms: 25 + -27 = -2
16y = -2

Divide each side by '16'.
y = -0.125

Simplifying
y = -0.125

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