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

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

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

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

Combine like terms: 2y + -5y = -3y
-6 + -3y = -3(y + 3)

Reorder the terms:
-6 + -3y = -3(3 + y)
-6 + -3y = (3 * -3 + y * -3)
-6 + -3y = (-9 + -3y)

Add '3y' to each side of the equation.
-6 + -3y + 3y = -9 + -3y + 3y

Combine like terms: -3y + 3y = 0
-6 + 0 = -9 + -3y + 3y
-6 = -9 + -3y + 3y

Combine like terms: -3y + 3y = 0
-6 = -9 + 0
-6 = -9

Solving
-6 = -9

Couldn't find a variable to solve for.

This equation is invalid, the left and right sides are not equal, therefore there is no solution.