3(4y-17)-y=4

Solution for 3(4y-17)-y=4 equation:

Simplifying
3(4y + -17) + -1y = 4

Reorder the terms:
3(-17 + 4y) + -1y = 4
(-17 * 3 + 4y * 3) + -1y = 4
(-51 + 12y) + -1y = 4

Combine like terms: 12y + -1y = 11y
-51 + 11y = 4

Solving
-51 + 11y = 4

Solving for variable 'y'.

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

Add '51' to each side of the equation.
-51 + 51 + 11y = 4 + 51

Combine like terms: -51 + 51 = 0
0 + 11y = 4 + 51
11y = 4 + 51

Combine like terms: 4 + 51 = 55
11y = 55

Divide each side by '11'.
y = 5

Simplifying
y = 5