6(y-7)=7y-42

Solution for 6(y-7)=7y-42 equation:

Simplifying
6(y + -7) = 7y + -42

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

Reorder the terms:
-42 + 6y = -42 + 7y

Add '42' to each side of the equation.
-42 + 42 + 6y = -42 + 42 + 7y

Combine like terms: -42 + 42 = 0
0 + 6y = -42 + 42 + 7y
6y = -42 + 42 + 7y

Combine like terms: -42 + 42 = 0
6y = 0 + 7y
6y = 7y

Solving
6y = 7y

Solving for variable 'y'.

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

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

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

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

Divide each side by '-1'.
y = 0

Simplifying
y = 0