7(y-6)=9y-42

Solution for 7(y-6)=9y-42 equation:

Simplifying
7(y + -6) = 9y + -42

Reorder the terms:
7(-6 + y) = 9y + -42
(-6 * 7 + y * 7) = 9y + -42
(-42 + 7y) = 9y + -42

Reorder the terms:
-42 + 7y = -42 + 9y

Add '42' to each side of the equation.
-42 + 42 + 7y = -42 + 42 + 9y

Combine like terms: -42 + 42 = 0
0 + 7y = -42 + 42 + 9y
7y = -42 + 42 + 9y

Combine like terms: -42 + 42 = 0
7y = 0 + 9y
7y = 9y

Solving
7y = 9y

Solving for variable 'y'.

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

Add '-9y' to each side of the equation.
7y + -9y = 9y + -9y

Combine like terms: 7y + -9y = -2y
-2y = 9y + -9y

Combine like terms: 9y + -9y = 0
-2y = 0

Divide each side by '-2'.
y = 0

Simplifying
y = 0