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

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

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

Reorder the terms:
2(-3 + y) + -3(y + -5) = 5y
(-3 * 2 + y * 2) + -3(y + -5) = 5y
(-6 + 2y) + -3(y + -5) = 5y

Reorder the terms:
-6 + 2y + -3(-5 + y) = 5y
-6 + 2y + (-5 * -3 + y * -3) = 5y
-6 + 2y + (15 + -3y) = 5y

Reorder the terms:
-6 + 15 + 2y + -3y = 5y

Combine like terms: -6 + 15 = 9
9 + 2y + -3y = 5y

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

Solving
9 + -1y = 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 + -1y + -5y = 5y + -5y

Combine like terms: -1y + -5y = -6y
9 + -6y = 5y + -5y

Combine like terms: 5y + -5y = 0
9 + -6y = 0

Add '-9' to each side of the equation.
9 + -9 + -6y = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -6y = 0 + -9
-6y = 0 + -9

Combine like terms: 0 + -9 = -9
-6y = -9

Divide each side by '-6'.
y = 1.5

Simplifying
y = 1.5