6(y+2)=3(y+15)

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Solution for 6(y+2)=3(y+15) equation: 


Simplifying
6(y + 2) = 3(y + 15)

Reorder the terms:
6(2 + y) = 3(y + 15)
(2 * 6 + y * 6) = 3(y + 15)
(12 + 6y) = 3(y + 15)

Reorder the terms:
12 + 6y = 3(15 + y)
12 + 6y = (15 * 3 + y * 3)
12 + 6y = (45 + 3y)

Solving
12 + 6y = 45 + 3y

Solving for variable 'y'.

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

Add '-3y' to each side of the equation.
12 + 6y + -3y = 45 + 3y + -3y

Combine like terms: 6y + -3y = 3y
12 + 3y = 45 + 3y + -3y

Combine like terms: 3y + -3y = 0
12 + 3y = 45 + 0
12 + 3y = 45

Add '-12' to each side of the equation.
12 + -12 + 3y = 45 + -12

Combine like terms: 12 + -12 = 0
0 + 3y = 45 + -12
3y = 45 + -12

Combine like terms: 45 + -12 = 33
3y = 33

Divide each side by '3'.
y = 11

Simplifying
y = 11

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