7y-(y+6)=10

Solution for 7y-(y+6)=10 equation:

Simplifying
7y + -1(y + 6) = 10

Reorder the terms:
7y + -1(6 + y) = 10
7y + (6 * -1 + y * -1) = 10
7y + (-6 + -1y) = 10

Reorder the terms:
-6 + 7y + -1y = 10

Combine like terms: 7y + -1y = 6y
-6 + 6y = 10

Solving
-6 + 6y = 10

Solving for variable 'y'.

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

Add '6' to each side of the equation.
-6 + 6 + 6y = 10 + 6

Combine like terms: -6 + 6 = 0
0 + 6y = 10 + 6
6y = 10 + 6

Combine like terms: 10 + 6 = 16
6y = 16

Divide each side by '6'.
y = 2.666666667

Simplifying
y = 2.666666667