8y+9(y+6)=105

Solution for 8y+9(y+6)=105 equation:

Simplifying
8y + 9(y + 6) = 105

Reorder the terms:
8y + 9(6 + y) = 105
8y + (6 * 9 + y * 9) = 105
8y + (54 + 9y) = 105

Reorder the terms:
54 + 8y + 9y = 105

Combine like terms: 8y + 9y = 17y
54 + 17y = 105

Solving
54 + 17y = 105

Solving for variable 'y'.

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

Add '-54' to each side of the equation.
54 + -54 + 17y = 105 + -54

Combine like terms: 54 + -54 = 0
0 + 17y = 105 + -54
17y = 105 + -54

Combine like terms: 105 + -54 = 51
17y = 51

Divide each side by '17'.
y = 3

Simplifying
y = 3