3(y-3)=2y-9+7

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Solution for 3(y-3)=2y-9+7 equation: 


Simplifying
3(y + -3) = 2y + -9 + 7

Reorder the terms:
3(-3 + y) = 2y + -9 + 7
(-3 * 3 + y * 3) = 2y + -9 + 7
(-9 + 3y) = 2y + -9 + 7

Reorder the terms:
-9 + 3y = -9 + 7 + 2y

Combine like terms: -9 + 7 = -2
-9 + 3y = -2 + 2y

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

Combine like terms: 3y + -2y = 1y
-9 + 1y = -2 + 2y + -2y

Combine like terms: 2y + -2y = 0
-9 + 1y = -2 + 0
-9 + 1y = -2

Add '9' to each side of the equation.
-9 + 9 + 1y = -2 + 9

Combine like terms: -9 + 9 = 0
0 + 1y = -2 + 9
1y = -2 + 9

Combine like terms: -2 + 9 = 7
1y = 7

Divide each side by '1'.
y = 7

Simplifying
y = 7

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