3(Y-3)-5Y=3

Solution for 3(Y-3)-5Y=3 equation:

Simplifying
3(Y + -3) + -5Y = 3

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

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

Solving
-9 + -2Y = 3

Solving for variable 'Y'.

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

Add '9' to each side of the equation.
-9 + 9 + -2Y = 3 + 9

Combine like terms: -9 + 9 = 0
0 + -2Y = 3 + 9
-2Y = 3 + 9

Combine like terms: 3 + 9 = 12
-2Y = 12

Divide each side by '-2'.
Y = -6

Simplifying
Y = -6