18(y+2)=3(5y+6)

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Solution for 18(y+2)=3(5y+6) equation:


Simplifying
18(y + 2) = 3(5y + 6)

Reorder the terms:
18(2 + y) = 3(5y + 6)
(2 * 18 + y * 18) = 3(5y + 6)
(36 + 18y) = 3(5y + 6)

Reorder the terms:
36 + 18y = 3(6 + 5y)
36 + 18y = (6 * 3 + 5y * 3)
36 + 18y = (18 + 15y)

Solving
36 + 18y = 18 + 15y

Solving for variable 'y'.

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

Add '-15y' to each side of the equation.
36 + 18y + -15y = 18 + 15y + -15y

Combine like terms: 18y + -15y = 3y
36 + 3y = 18 + 15y + -15y

Combine like terms: 15y + -15y = 0
36 + 3y = 18 + 0
36 + 3y = 18

Add '-36' to each side of the equation.
36 + -36 + 3y = 18 + -36

Combine like terms: 36 + -36 = 0
0 + 3y = 18 + -36
3y = 18 + -36

Combine like terms: 18 + -36 = -18
3y = -18

Divide each side by '3'.
y = -6

Simplifying
y = -6

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