3y+18=3(3y+2)

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Solution for 3y+18=3(3y+2) equation:


Simplifying
3y + 18 = 3(3y + 2)

Reorder the terms:
18 + 3y = 3(3y + 2)

Reorder the terms:
18 + 3y = 3(2 + 3y)
18 + 3y = (2 * 3 + 3y * 3)
18 + 3y = (6 + 9y)

Solving
18 + 3y = 6 + 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 + 3y + -9y = 6 + 9y + -9y

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

Combine like terms: 9y + -9y = 0
18 + -6y = 6 + 0
18 + -6y = 6

Add '-18' to each side of the equation.
18 + -18 + -6y = 6 + -18

Combine like terms: 18 + -18 = 0
0 + -6y = 6 + -18
-6y = 6 + -18

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

Divide each side by '-6'.
y = 2

Simplifying
y = 2

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