2y+3(y-2)=9

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Solution for 2y+3(y-2)=9 equation:


Simplifying
2y + 3(y + -2) = 9

Reorder the terms:
2y + 3(-2 + y) = 9
2y + (-2 * 3 + y * 3) = 9
2y + (-6 + 3y) = 9

Reorder the terms:
-6 + 2y + 3y = 9

Combine like terms: 2y + 3y = 5y
-6 + 5y = 9

Solving
-6 + 5y = 9

Solving for variable 'y'.

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

Add '6' to each side of the equation.
-6 + 6 + 5y = 9 + 6

Combine like terms: -6 + 6 = 0
0 + 5y = 9 + 6
5y = 9 + 6

Combine like terms: 9 + 6 = 15
5y = 15

Divide each side by '5'.
y = 3

Simplifying
y = 3

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