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

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


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

Reorder the terms:
3(6 + 3y) = 4(3y + -3)
(6 * 3 + 3y * 3) = 4(3y + -3)
(18 + 9y) = 4(3y + -3)

Reorder the terms:
18 + 9y = 4(-3 + 3y)
18 + 9y = (-3 * 4 + 3y * 4)
18 + 9y = (-12 + 12y)

Solving
18 + 9y = -12 + 12y

Solving for variable 'y'.

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

Add '-12y' to each side of the equation.
18 + 9y + -12y = -12 + 12y + -12y

Combine like terms: 9y + -12y = -3y
18 + -3y = -12 + 12y + -12y

Combine like terms: 12y + -12y = 0
18 + -3y = -12 + 0
18 + -3y = -12

Add '-18' to each side of the equation.
18 + -18 + -3y = -12 + -18

Combine like terms: 18 + -18 = 0
0 + -3y = -12 + -18
-3y = -12 + -18

Combine like terms: -12 + -18 = -30
-3y = -30

Divide each side by '-3'.
y = 10

Simplifying
y = 10

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