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

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

Simplifying
2(a + 3) + -5(a + -1y) = 0

Reorder the terms:
2(3 + a) + -5(a + -1y) = 0
(3 * 2 + a * 2) + -5(a + -1y) = 0
(6 + 2a) + -5(a + -1y) = 0
6 + 2a + (a * -5 + -1y * -5) = 0
6 + 2a + (-5a + 5y) = 0

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

Solving
6 + -3a + 5y = 0

Solving for variable 'a'.

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

Add '-6' to each side of the equation.
6 + -3a + -6 + 5y = 0 + -6

Reorder the terms:
6 + -6 + -3a + 5y = 0 + -6

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

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

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

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

Divide each side by '-3'.
a = 2 + 1.666666667y

Simplifying
a = 2 + 1.666666667y