3a(y+5)=42

Solution for 3a(y+5)=42 equation:

Simplifying
3a(y + 5) = 42

Reorder the terms:
3a(5 + y) = 42
(5 * 3a + y * 3a) = 42
(15a + 3ay) = 42

Solving
15a + 3ay = 42

Solving for variable 'a'.

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

Reorder the terms:
-42 + 15a + 3ay = 42 + -42

Combine like terms: 42 + -42 = 0
-42 + 15a + 3ay = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(-14 + 5a + ay) = 0

Ignore the factor 3.
Subproblem 1
Set the factor '(-14 + 5a + ay)' equal to zero and attempt to solve:

Simplifying
-14 + 5a + ay = 0

Solving
-14 + 5a + ay = 0

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

Add '14' to each side of the equation.
-14 + 5a + 14 + ay = 0 + 14

Reorder the terms:
-14 + 14 + 5a + ay = 0 + 14

Combine like terms: -14 + 14 = 0
0 + 5a + ay = 0 + 14
5a + ay = 0 + 14

Combine like terms: 0 + 14 = 14
5a + ay = 14

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.