3(y+6)=5y+24

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Solution for 3(y+6)=5y+24 equation:


Simplifying
3(y + 6) = 5y + 24

Reorder the terms:
3(6 + y) = 5y + 24
(6 * 3 + y * 3) = 5y + 24
(18 + 3y) = 5y + 24

Reorder the terms:
18 + 3y = 24 + 5y

Solving
18 + 3y = 24 + 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 = 24 + 5y + -5y

Combine like terms: 3y + -5y = -2y
18 + -2y = 24 + 5y + -5y

Combine like terms: 5y + -5y = 0
18 + -2y = 24 + 0
18 + -2y = 24

Add '-18' to each side of the equation.
18 + -18 + -2y = 24 + -18

Combine like terms: 18 + -18 = 0
0 + -2y = 24 + -18
-2y = 24 + -18

Combine like terms: 24 + -18 = 6
-2y = 6

Divide each side by '-2'.
y = -3

Simplifying
y = -3

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