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

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


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

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

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

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

Solving for variable 'y'.

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

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

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

Combine like terms: -3y + 3y = 0
-6 + 6y = 9 + 0
-6 + 6y = 9

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

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

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

Divide each side by '6'.
y = 2.5

Simplifying
y = 2.5

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