2y+3(y-6)=24

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Solution for 2y+3(y-6)=24 equation: 


Simplifying
2y + 3(y + -6) = 24

Reorder the terms:
2y + 3(-6 + y) = 24
2y + (-6 * 3 + y * 3) = 24
2y + (-18 + 3y) = 24

Reorder the terms:
-18 + 2y + 3y = 24

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

Solving
-18 + 5y = 24

Solving for variable 'y'.

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

Add '18' to each side of the equation.
-18 + 18 + 5y = 24 + 18

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

Combine like terms: 24 + 18 = 42
5y = 42

Divide each side by '5'.
y = 8.4

Simplifying
y = 8.4

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