3(y+4)+6=5y+6

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Solution for 3(y+4)+6=5y+6 equation: 


Simplifying
3(y + 4) + 6 = 5y + 6

Reorder the terms:
3(4 + y) + 6 = 5y + 6
(4 * 3 + y * 3) + 6 = 5y + 6
(12 + 3y) + 6 = 5y + 6

Reorder the terms:
12 + 6 + 3y = 5y + 6

Combine like terms: 12 + 6 = 18
18 + 3y = 5y + 6

Reorder the terms:
18 + 3y = 6 + 5y

Solving
18 + 3y = 6 + 5y

Solving for variable 'y'.

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

Add '-5y' to each side of the equation.
18 + 3y + -5y = 6 + 5y + -5y

Combine like terms: 3y + -5y = -2y
18 + -2y = 6 + 5y + -5y

Combine like terms: 5y + -5y = 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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