30=6y+6(y+3)

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Solution for 30=6y+6(y+3) equation:


Simplifying
30 = 6y + 6(y + 3)

Reorder the terms:
30 = 6y + 6(3 + y)
30 = 6y + (3 * 6 + y * 6)
30 = 6y + (18 + 6y)

Reorder the terms:
30 = 18 + 6y + 6y

Combine like terms: 6y + 6y = 12y
30 = 18 + 12y

Solving
30 = 18 + 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.
30 + -12y = 18 + 12y + -12y

Combine like terms: 12y + -12y = 0
30 + -12y = 18 + 0
30 + -12y = 18

Add '-30' to each side of the equation.
30 + -30 + -12y = 18 + -30

Combine like terms: 30 + -30 = 0
0 + -12y = 18 + -30
-12y = 18 + -30

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

Divide each side by '-12'.
y = 1

Simplifying
y = 1

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