3(2y+3)=9y-15

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Solution for 3(2y+3)=9y-15 equation:


Simplifying
3(2y + 3) = 9y + -15

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

Reorder the terms:
9 + 6y = -15 + 9y

Solving
9 + 6y = -15 + 9y

Solving for variable 'y'.

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

Add '-9y' to each side of the equation.
9 + 6y + -9y = -15 + 9y + -9y

Combine like terms: 6y + -9y = -3y
9 + -3y = -15 + 9y + -9y

Combine like terms: 9y + -9y = 0
9 + -3y = -15 + 0
9 + -3y = -15

Add '-9' to each side of the equation.
9 + -9 + -3y = -15 + -9

Combine like terms: 9 + -9 = 0
0 + -3y = -15 + -9
-3y = -15 + -9

Combine like terms: -15 + -9 = -24
-3y = -24

Divide each side by '-3'.
y = 8

Simplifying
y = 8

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