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

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

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

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

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

Solving
6 + 5y = -6x + 3y

Solving for variable 'y'.

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

Add '-3y' to each side of the equation.
6 + 5y + -3y = -6x + 3y + -3y

Combine like terms: 5y + -3y = 2y
6 + 2y = -6x + 3y + -3y

Combine like terms: 3y + -3y = 0
6 + 2y = -6x + 0
6 + 2y = -6x

Add '-6' to each side of the equation.
6 + -6 + 2y = -6 + -6x

Combine like terms: 6 + -6 = 0
0 + 2y = -6 + -6x
2y = -6 + -6x

Divide each side by '2'.
y = -3 + -3x

Simplifying
y = -3 + -3x