7y+(8+y+15)+6+y(1)=47

Solution for 7y+(8+y+15)+6+y(1)=47 equation:

Simplifying
7y + (8 + y + 15) + 6 + y(1) = 47

Reorder the terms:
7y + (8 + 15 + y) + 6 + y(1) = 47

Combine like terms: 8 + 15 = 23
7y + (23 + y) + 6 + y(1) = 47

Remove parenthesis around (23 + y)
7y + 23 + y + 6 + y(1) = 47

Reorder the terms for easier multiplication:
7y + 23 + y + 6 + 1y = 47

Reorder the terms:
23 + 6 + 7y + y + 1y = 47

Combine like terms: 23 + 6 = 29
29 + 7y + y + 1y = 47

Combine like terms: 7y + y = 8y
29 + 8y + 1y = 47

Combine like terms: 8y + 1y = 9y
29 + 9y = 47

Solving
29 + 9y = 47

Solving for variable 'y'.

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

Add '-29' to each side of the equation.
29 + -29 + 9y = 47 + -29

Combine like terms: 29 + -29 = 0
0 + 9y = 47 + -29
9y = 47 + -29

Combine like terms: 47 + -29 = 18
9y = 18

Divide each side by '9'.
y = 2

Simplifying
y = 2