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

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

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

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

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

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

Reorder the terms:
6 + 2y = 3 + -2Y

Solving
6 + 2y = 3 + -2Y

Solving for variable 'y'.

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

Add '-6' to each side of the equation.
6 + -6 + 2y = 3 + -6 + -2Y

Combine like terms: 6 + -6 = 0
0 + 2y = 3 + -6 + -2Y
2y = 3 + -6 + -2Y

Combine like terms: 3 + -6 = -3
2y = -3 + -2Y

Divide each side by '2'.
y = -1.5 + -1Y

Simplifying
y = -1.5 + -1Y