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

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


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

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

Reorder the terms:
-9 + 3y = 2(-2 + y)
-9 + 3y = (-2 * 2 + y * 2)
-9 + 3y = (-4 + 2y)

Solving
-9 + 3y = -4 + 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 = -4 + 2y + -2y

Combine like terms: 3y + -2y = 1y
-9 + 1y = -4 + 2y + -2y

Combine like terms: 2y + -2y = 0
-9 + 1y = -4 + 0
-9 + 1y = -4

Add '9' to each side of the equation.
-9 + 9 + 1y = -4 + 9

Combine like terms: -9 + 9 = 0
0 + 1y = -4 + 9
1y = -4 + 9

Combine like terms: -4 + 9 = 5
1y = 5

Divide each side by '1'.
y = 5

Simplifying
y = 5

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