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

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


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

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

Reorder the terms:
12 + 6 + 3y = (y + 6)

Combine like terms: 12 + 6 = 18
18 + 3y = (y + 6)

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

Remove parenthesis around (6 + y)
18 + 3y = 6 + y

Solving
18 + 3y = 6 + y

Solving for variable 'y'.

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

Add '-1y' to each side of the equation.
18 + 3y + -1y = 6 + y + -1y

Combine like terms: 3y + -1y = 2y
18 + 2y = 6 + y + -1y

Combine like terms: y + -1y = 0
18 + 2y = 6 + 0
18 + 2y = 6

Add '-18' to each side of the equation.
18 + -18 + 2y = 6 + -18

Combine like terms: 18 + -18 = 0
0 + 2y = 6 + -18
2y = 6 + -18

Combine like terms: 6 + -18 = -12
2y = -12

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

Simplifying
y = -6

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