3(y+2)-(y-1)=17

Solution for 3(y+2)-(y-1)=17 equation:

Simplifying
3(y + 2) + -1(y + -1) = 17

Reorder the terms:
3(2 + y) + -1(y + -1) = 17
(2 * 3 + y * 3) + -1(y + -1) = 17
(6 + 3y) + -1(y + -1) = 17

Reorder the terms:
6 + 3y + -1(-1 + y) = 17
6 + 3y + (-1 * -1 + y * -1) = 17
6 + 3y + (1 + -1y) = 17

Reorder the terms:
6 + 1 + 3y + -1y = 17

Combine like terms: 6 + 1 = 7
7 + 3y + -1y = 17

Combine like terms: 3y + -1y = 2y
7 + 2y = 17

Solving
7 + 2y = 17

Solving for variable 'y'.

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

Add '-7' to each side of the equation.
7 + -7 + 2y = 17 + -7

Combine like terms: 7 + -7 = 0
0 + 2y = 17 + -7
2y = 17 + -7

Combine like terms: 17 + -7 = 10
2y = 10

Divide each side by '2'.
y = 5

Simplifying
y = 5