3(z-2)=5y-3

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

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

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

Reorder the terms:
-6 + 3z = -3 + 5y

Solving
-6 + 3z = -3 + 5y

Solving for variable 'z'.

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

Add '6' to each side of the equation.
-6 + 6 + 3z = -3 + 6 + 5y

Combine like terms: -6 + 6 = 0
0 + 3z = -3 + 6 + 5y
3z = -3 + 6 + 5y

Combine like terms: -3 + 6 = 3
3z = 3 + 5y

Divide each side by '3'.
z = 1 + 1.666666667y

Simplifying
z = 1 + 1.666666667y