7y-(y-3)=10

Solution for 7y-(y-3)=10 equation:

Simplifying
7y + -1(y + -3) = 10

Reorder the terms:
7y + -1(-3 + y) = 10
7y + (-3 * -1 + y * -1) = 10
7y + (3 + -1y) = 10

Reorder the terms:
3 + 7y + -1y = 10

Combine like terms: 7y + -1y = 6y
3 + 6y = 10

Solving
3 + 6y = 10

Solving for variable 'y'.

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

Add '-3' to each side of the equation.
3 + -3 + 6y = 10 + -3

Combine like terms: 3 + -3 = 0
0 + 6y = 10 + -3
6y = 10 + -3

Combine like terms: 10 + -3 = 7
6y = 7

Divide each side by '6'.
y = 1.166666667

Simplifying
y = 1.166666667