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

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


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

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

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

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

Reorder the terms:
18 + 3y = 5(6 + y)
18 + 3y = (6 * 5 + y * 5)
18 + 3y = (30 + 5y)

Solving
18 + 3y = 30 + 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 = 30 + 5y + -5y

Combine like terms: 3y + -5y = -2y
18 + -2y = 30 + 5y + -5y

Combine like terms: 5y + -5y = 0
18 + -2y = 30 + 0
18 + -2y = 30

Add '-18' to each side of the equation.
18 + -18 + -2y = 30 + -18

Combine like terms: 18 + -18 = 0
0 + -2y = 30 + -18
-2y = 30 + -18

Combine like terms: 30 + -18 = 12
-2y = 12

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

Simplifying
y = -6

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