6+y+7(y+4)=61-y

Solution for 6+y+7(y+4)=61-y equation:

Simplifying
6 + y + 7(y + 4) = 61 + -1y

Reorder the terms:
6 + y + 7(4 + y) = 61 + -1y
6 + y + (4 * 7 + y * 7) = 61 + -1y
6 + y + (28 + 7y) = 61 + -1y

Reorder the terms:
6 + 28 + y + 7y = 61 + -1y

Combine like terms: 6 + 28 = 34
34 + y + 7y = 61 + -1y

Combine like terms: y + 7y = 8y
34 + 8y = 61 + -1y

Solving
34 + 8y = 61 + -1y

Solving for variable 'y'.

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

Add 'y' to each side of the equation.
34 + 8y + y = 61 + -1y + y

Combine like terms: 8y + y = 9y
34 + 9y = 61 + -1y + y

Combine like terms: -1y + y = 0
34 + 9y = 61 + 0
34 + 9y = 61

Add '-34' to each side of the equation.
34 + -34 + 9y = 61 + -34

Combine like terms: 34 + -34 = 0
0 + 9y = 61 + -34
9y = 61 + -34

Combine like terms: 61 + -34 = 27
9y = 27

Divide each side by '9'.
y = 3

Simplifying
y = 3