(11y-17)3=3(6y-2)

Solution for (11y-17)3=3(6y-2) equation:

Simplifying
(11y + -17) * 3 = 3(6y + -2)

Reorder the terms:
(-17 + 11y) * 3 = 3(6y + -2)

Reorder the terms for easier multiplication:
3(-17 + 11y) = 3(6y + -2)
(-17 * 3 + 11y * 3) = 3(6y + -2)
(-51 + 33y) = 3(6y + -2)

Reorder the terms:
-51 + 33y = 3(-2 + 6y)
-51 + 33y = (-2 * 3 + 6y * 3)
-51 + 33y = (-6 + 18y)

Solving
-51 + 33y = -6 + 18y

Solving for variable 'y'.

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

Add '-18y' to each side of the equation.
-51 + 33y + -18y = -6 + 18y + -18y

Combine like terms: 33y + -18y = 15y
-51 + 15y = -6 + 18y + -18y

Combine like terms: 18y + -18y = 0
-51 + 15y = -6 + 0
-51 + 15y = -6

Add '51' to each side of the equation.
-51 + 51 + 15y = -6 + 51

Combine like terms: -51 + 51 = 0
0 + 15y = -6 + 51
15y = -6 + 51

Combine like terms: -6 + 51 = 45
15y = 45

Divide each side by '15'.
y = 3

Simplifying
y = 3