3(y-3)=5y+9

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Solution for 3(y-3)=5y+9 equation:


Simplifying
3(y + -3) = 5y + 9

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

Reorder the terms:
-9 + 3y = 9 + 5y

Solving
-9 + 3y = 9 + 5y

Solving for variable 'y'.

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

Add '-5y' to each side of the equation.
-9 + 3y + -5y = 9 + 5y + -5y

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

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

Add '9' to each side of the equation.
-9 + 9 + -2y = 9 + 9

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

Combine like terms: 9 + 9 = 18
-2y = 18

Divide each side by '-2'.
y = -9

Simplifying
y = -9

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