(7y+4)-(3+6y)=10

Solution for (7y+4)-(3+6y)=10 equation:

Simplifying
(7y + 4) + -1(3 + 6y) = 10

Reorder the terms:
(4 + 7y) + -1(3 + 6y) = 10

Remove parenthesis around (4 + 7y)
4 + 7y + -1(3 + 6y) = 10
4 + 7y + (3 * -1 + 6y * -1) = 10
4 + 7y + (-3 + -6y) = 10

Reorder the terms:
4 + -3 + 7y + -6y = 10

Combine like terms: 4 + -3 = 1
1 + 7y + -6y = 10

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

Solving
1 + 1y = 10

Solving for variable 'y'.

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

Add '-1' to each side of the equation.
1 + -1 + 1y = 10 + -1

Combine like terms: 1 + -1 = 0
0 + 1y = 10 + -1
1y = 10 + -1

Combine like terms: 10 + -1 = 9
1y = 9

Divide each side by '1'.
y = 9

Simplifying
y = 9