10y-(y+6)=3y-1

Solution for 10y-(y+6)=3y-1 equation:

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

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

Reorder the terms:
-6 + 10y + -1y = 3y + -1

Combine like terms: 10y + -1y = 9y
-6 + 9y = 3y + -1

Reorder the terms:
-6 + 9y = -1 + 3y

Solving
-6 + 9y = -1 + 3y

Solving for variable 'y'.

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

Add '-3y' to each side of the equation.
-6 + 9y + -3y = -1 + 3y + -3y

Combine like terms: 9y + -3y = 6y
-6 + 6y = -1 + 3y + -3y

Combine like terms: 3y + -3y = 0
-6 + 6y = -1 + 0
-6 + 6y = -1

Add '6' to each side of the equation.
-6 + 6 + 6y = -1 + 6

Combine like terms: -6 + 6 = 0
0 + 6y = -1 + 6
6y = -1 + 6

Combine like terms: -1 + 6 = 5
6y = 5

Divide each side by '6'.
y = 0.8333333333

Simplifying
y = 0.8333333333