10y+6=3y-1

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

Simplifying
10y + 6 = 3y + -1

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

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

Solving
6 + 10y = -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 + 10y + -3y = -1 + 3y + -3y

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

Combine like terms: 3y + -3y = 0
6 + 7y = -1 + 0
6 + 7y = -1

Add '-6' to each side of the equation.
6 + -6 + 7y = -1 + -6

Combine like terms: 6 + -6 = 0
0 + 7y = -1 + -6
7y = -1 + -6

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

Divide each side by '7'.
y = -1

Simplifying
y = -1