4(3y+6)+3y=9

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Solution for 4(3y+6)+3y=9 equation:


Simplifying
4(3y + 6) + 3y = 9

Reorder the terms:
4(6 + 3y) + 3y = 9
(6 * 4 + 3y * 4) + 3y = 9
(24 + 12y) + 3y = 9

Combine like terms: 12y + 3y = 15y
24 + 15y = 9

Solving
24 + 15y = 9

Solving for variable 'y'.

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

Add '-24' to each side of the equation.
24 + -24 + 15y = 9 + -24

Combine like terms: 24 + -24 = 0
0 + 15y = 9 + -24
15y = 9 + -24

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

Divide each side by '15'.
y = -1

Simplifying
y = -1

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