Simplifying
6y + 1 = 21y + 13
Reorder the terms:
1 + 6y = 21y + 13
Reorder the terms:
1 + 6y = 13 + 21y
Solving
1 + 6y = 13 + 21y
Solving for variable 'y'.
Move all terms containing y to the left, all other terms to the right.
Add '-21y' to each side of the equation.
1 + 6y + -21y = 13 + 21y + -21y
Combine like terms: 6y + -21y = -15y
1 + -15y = 13 + 21y + -21y
Combine like terms: 21y + -21y = 0
1 + -15y = 13 + 0
1 + -15y = 13
Add '-1' to each side of the equation.
1 + -1 + -15y = 13 + -1
Combine like terms: 1 + -1 = 0
0 + -15y = 13 + -1
-15y = 13 + -1
Combine like terms: 13 + -1 = 12
-15y = 12
Divide each side by '-15'.
y = -0.8
Simplifying
y = -0.8