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

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


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

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

Reorder the terms:
-9 + 3y = 2(3 + y)
-9 + 3y = (3 * 2 + y * 2)
-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 = 1y
-9 + 1y = 6 + 2y + -2y

Combine like terms: 2y + -2y = 0
-9 + 1y = 6 + 0
-9 + 1y = 6

Add '9' to each side of the equation.
-9 + 9 + 1y = 6 + 9

Combine like terms: -9 + 9 = 0
0 + 1y = 6 + 9
1y = 6 + 9

Combine like terms: 6 + 9 = 15
1y = 15

Divide each side by '1'.
y = 15

Simplifying
y = 15

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