7(5y-6)=21y

Solution for 7(5y-6)=21y equation:

Simplifying
7(5y + -6) = 21y

Reorder the terms:
7(-6 + 5y) = 21y
(-6 * 7 + 5y * 7) = 21y
(-42 + 35y) = 21y

Solving
-42 + 35y = 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.
-42 + 35y + -21y = 21y + -21y

Combine like terms: 35y + -21y = 14y
-42 + 14y = 21y + -21y

Combine like terms: 21y + -21y = 0
-42 + 14y = 0

Add '42' to each side of the equation.
-42 + 42 + 14y = 0 + 42

Combine like terms: -42 + 42 = 0
0 + 14y = 0 + 42
14y = 0 + 42

Combine like terms: 0 + 42 = 42
14y = 42

Divide each side by '14'.
y = 3

Simplifying
y = 3