9(y-6)+6(y+1)=42

Solution for 9(y-6)+6(y+1)=42 equation:

Simplifying
9(y + -6) + 6(y + 1) = 42

Reorder the terms:
9(-6 + y) + 6(y + 1) = 42
(-6 * 9 + y * 9) + 6(y + 1) = 42
(-54 + 9y) + 6(y + 1) = 42

Reorder the terms:
-54 + 9y + 6(1 + y) = 42
-54 + 9y + (1 * 6 + y * 6) = 42
-54 + 9y + (6 + 6y) = 42

Reorder the terms:
-54 + 6 + 9y + 6y = 42

Combine like terms: -54 + 6 = -48
-48 + 9y + 6y = 42

Combine like terms: 9y + 6y = 15y
-48 + 15y = 42

Solving
-48 + 15y = 42

Solving for variable 'y'.

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

Add '48' to each side of the equation.
-48 + 48 + 15y = 42 + 48

Combine like terms: -48 + 48 = 0
0 + 15y = 42 + 48
15y = 42 + 48

Combine like terms: 42 + 48 = 90
15y = 90

Divide each side by '15'.
y = 6

Simplifying
y = 6