5(y-6)+17=-33

Solution for 5(y-6)+17=-33 equation:

Simplifying
5(y + -6) + 17 = -33

Reorder the terms:
5(-6 + y) + 17 = -33
(-6 * 5 + y * 5) + 17 = -33
(-30 + 5y) + 17 = -33

Reorder the terms:
-30 + 17 + 5y = -33

Combine like terms: -30 + 17 = -13
-13 + 5y = -33

Solving
-13 + 5y = -33

Solving for variable 'y'.

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

Add '13' to each side of the equation.
-13 + 13 + 5y = -33 + 13

Combine like terms: -13 + 13 = 0
0 + 5y = -33 + 13
5y = -33 + 13

Combine like terms: -33 + 13 = -20
5y = -20

Divide each side by '5'.
y = -4

Simplifying
y = -4