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

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


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

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

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

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

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

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

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

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

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

Divide each side by '5'.
y = 3

Simplifying
y = 3

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