1.5y+1.5(y+2)=5+3(y-3)

Solution for 1.5y+1.5(y+2)=5+3(y-3) equation:

Simplifying
1.5y + 1.5(y + 2) = 5 + 3(y + -3)

Reorder the terms:
1.5y + 1.5(2 + y) = 5 + 3(y + -3)
1.5y + (2 * 1.5 + y * 1.5) = 5 + 3(y + -3)
1.5y + (3 + 1.5y) = 5 + 3(y + -3)

Reorder the terms:
3 + 1.5y + 1.5y = 5 + 3(y + -3)

Combine like terms: 1.5y + 1.5y = 3y
3 + 3y = 5 + 3(y + -3)

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

Combine like terms: 5 + -9 = -4
3 + 3y = -4 + 3y

Add '-3y' to each side of the equation.
3 + 3y + -3y = -4 + 3y + -3y

Combine like terms: 3y + -3y = 0
3 + 0 = -4 + 3y + -3y
3 = -4 + 3y + -3y

Combine like terms: 3y + -3y = 0
3 = -4 + 0
3 = -4

Solving
3 = -4

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.