3(y-23)+2(y-2)=17

Solution for 3(y-23)+2(y-2)=17 equation:

Simplifying
3(y + -23) + 2(y + -2) = 17

Reorder the terms:
3(-23 + y) + 2(y + -2) = 17
(-23 * 3 + y * 3) + 2(y + -2) = 17
(-69 + 3y) + 2(y + -2) = 17

Reorder the terms:
-69 + 3y + 2(-2 + y) = 17
-69 + 3y + (-2 * 2 + y * 2) = 17
-69 + 3y + (-4 + 2y) = 17

Reorder the terms:
-69 + -4 + 3y + 2y = 17

Combine like terms: -69 + -4 = -73
-73 + 3y + 2y = 17

Combine like terms: 3y + 2y = 5y
-73 + 5y = 17

Solving
-73 + 5y = 17

Solving for variable 'y'.

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

Add '73' to each side of the equation.
-73 + 73 + 5y = 17 + 73

Combine like terms: -73 + 73 = 0
0 + 5y = 17 + 73
5y = 17 + 73

Combine like terms: 17 + 73 = 90
5y = 90

Divide each side by '5'.
y = 18

Simplifying
y = 18