-3(y-3)=5-2y

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Solution for -3(y-3)=5-2y equation:


Simplifying
-3(y + -3) = 5 + -2y

Reorder the terms:
-3(-3 + y) = 5 + -2y
(-3 * -3 + y * -3) = 5 + -2y
(9 + -3y) = 5 + -2y

Solving
9 + -3y = 5 + -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 = 5 + -2y + 2y

Combine like terms: -3y + 2y = -1y
9 + -1y = 5 + -2y + 2y

Combine like terms: -2y + 2y = 0
9 + -1y = 5 + 0
9 + -1y = 5

Add '-9' to each side of the equation.
9 + -9 + -1y = 5 + -9

Combine like terms: 9 + -9 = 0
0 + -1y = 5 + -9
-1y = 5 + -9

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

Divide each side by '-1'.
y = 4

Simplifying
y = 4

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