10y-(3y+1)=34

Solution for 10y-(3y+1)=34 equation:

Simplifying
10y + -1(3y + 1) = 34

Reorder the terms:
10y + -1(1 + 3y) = 34
10y + (1 * -1 + 3y * -1) = 34
10y + (-1 + -3y) = 34

Reorder the terms:
-1 + 10y + -3y = 34

Combine like terms: 10y + -3y = 7y
-1 + 7y = 34

Solving
-1 + 7y = 34

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 + 7y = 34 + 1

Combine like terms: -1 + 1 = 0
0 + 7y = 34 + 1
7y = 34 + 1

Combine like terms: 34 + 1 = 35
7y = 35

Divide each side by '7'.
y = 5

Simplifying
y = 5