(5y+6)=3(2y-2)

Solution for (5y+6)=3(2y-2) equation:

Simplifying
(5y + 6) = 3(2y + -2)

Reorder the terms:
(6 + 5y) = 3(2y + -2)

Remove parenthesis around (6 + 5y)
6 + 5y = 3(2y + -2)

Reorder the terms:
6 + 5y = 3(-2 + 2y)
6 + 5y = (-2 * 3 + 2y * 3)
6 + 5y = (-6 + 6y)

Solving
6 + 5y = -6 + 6y

Solving for variable 'y'.

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

Add '-6y' to each side of the equation.
6 + 5y + -6y = -6 + 6y + -6y

Combine like terms: 5y + -6y = -1y
6 + -1y = -6 + 6y + -6y

Combine like terms: 6y + -6y = 0
6 + -1y = -6 + 0
6 + -1y = -6

Add '-6' to each side of the equation.
6 + -6 + -1y = -6 + -6

Combine like terms: 6 + -6 = 0
0 + -1y = -6 + -6
-1y = -6 + -6

Combine like terms: -6 + -6 = -12
-1y = -12

Divide each side by '-1'.
y = 12

Simplifying
y = 12