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

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

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

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

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

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

Add '6' to each side of the equation.
-6 + 6 + -2y = -6 + 6 + -2y

Combine like terms: -6 + 6 = 0
0 + -2y = -6 + 6 + -2y
-2y = -6 + 6 + -2y

Combine like terms: -6 + 6 = 0
-2y = 0 + -2y
-2y = -2y

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

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

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

Solving
0 = 0

Couldn't find a variable to solve for.

This equation is an identity, all real numbers are solutions.