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

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


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

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

Reorder the terms:
15 + 15y = 9 + -2(-3 + y)
15 + 15y = 9 + (-3 * -2 + y * -2)
15 + 15y = 9 + (6 + -2y)

Combine like terms: 9 + 6 = 15
15 + 15y = 15 + -2y

Add '-15' to each side of the equation.
15 + -15 + 15y = 15 + -15 + -2y

Combine like terms: 15 + -15 = 0
0 + 15y = 15 + -15 + -2y
15y = 15 + -15 + -2y

Combine like terms: 15 + -15 = 0
15y = 0 + -2y
15y = -2y

Solving
15y = -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.
15y + 2y = -2y + 2y

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

Combine like terms: -2y + 2y = 0
17y = 0

Divide each side by '17'.
y = 0

Simplifying
y = 0

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