6y-18=3(3y+4)

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Solution for 6y-18=3(3y+4) equation:


Simplifying
6y + -18 = 3(3y + 4)

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

Reorder the terms:
-18 + 6y = 3(4 + 3y)
-18 + 6y = (4 * 3 + 3y * 3)
-18 + 6y = (12 + 9y)

Solving
-18 + 6y = 12 + 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.
-18 + 6y + -9y = 12 + 9y + -9y

Combine like terms: 6y + -9y = -3y
-18 + -3y = 12 + 9y + -9y

Combine like terms: 9y + -9y = 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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