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

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

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

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

Solving
6 + 3y = 5a + -2ay

Solving for variable 'y'.

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

Add '2ay' to each side of the equation.
6 + 2ay + 3y = 5a + -2ay + 2ay

Combine like terms: -2ay + 2ay = 0
6 + 2ay + 3y = 5a + 0
6 + 2ay + 3y = 5a

Add '-6' to each side of the equation.
6 + 2ay + -6 + 3y = -6 + 5a

Reorder the terms:
6 + -6 + 2ay + 3y = -6 + 5a

Combine like terms: 6 + -6 = 0
0 + 2ay + 3y = -6 + 5a
2ay + 3y = -6 + 5a

Reorder the terms:
6 + -5a + 2ay + 3y = -6 + 5a + 6 + -5a

Reorder the terms:
6 + -5a + 2ay + 3y = -6 + 6 + 5a + -5a

Combine like terms: -6 + 6 = 0
6 + -5a + 2ay + 3y = 0 + 5a + -5a
6 + -5a + 2ay + 3y = 5a + -5a

Combine like terms: 5a + -5a = 0
6 + -5a + 2ay + 3y = 0

The solution to this equation could not be determined.