3(y-1)=2(9-y)

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Solution for 3(y-1)=2(9-y) equation:


Simplifying
3(y + -1) = 2(9 + -1y)

Reorder the terms:
3(-1 + y) = 2(9 + -1y)
(-1 * 3 + y * 3) = 2(9 + -1y)
(-3 + 3y) = 2(9 + -1y)
-3 + 3y = (9 * 2 + -1y * 2)
-3 + 3y = (18 + -2y)

Solving
-3 + 3y = 18 + -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.
-3 + 3y + 2y = 18 + -2y + 2y

Combine like terms: 3y + 2y = 5y
-3 + 5y = 18 + -2y + 2y

Combine like terms: -2y + 2y = 0
-3 + 5y = 18 + 0
-3 + 5y = 18

Add '3' to each side of the equation.
-3 + 3 + 5y = 18 + 3

Combine like terms: -3 + 3 = 0
0 + 5y = 18 + 3
5y = 18 + 3

Combine like terms: 18 + 3 = 21
5y = 21

Divide each side by '5'.
y = 4.2

Simplifying
y = 4.2

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