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

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


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

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

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

Solving
-6 + 3y = 9 + -2y

Solving for variable 'y'.

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

Add '2y' to each side of the equation.
-6 + 3y + 2y = 9 + -2y + 2y

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

Combine like terms: -2y + 2y = 0
-6 + 5y = 9 + 0
-6 + 5y = 9

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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