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

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


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

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

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

Solving
18 + 6y = 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 + 6y + -5y = 30 + 5y + -5y

Combine like terms: 6y + -5y = 1y
18 + 1y = 30 + 5y + -5y

Combine like terms: 5y + -5y = 0
18 + 1y = 30 + 0
18 + 1y = 30

Add '-18' to each side of the equation.
18 + -18 + 1y = 30 + -18

Combine like terms: 18 + -18 = 0
0 + 1y = 30 + -18
1y = 30 + -18

Combine like terms: 30 + -18 = 12
1y = 12

Divide each side by '1'.
y = 12

Simplifying
y = 12

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