6(y-7)=5(9+y)

Solution for 6(y-7)=5(9+y) equation:

Simplifying
6(y + -7) = 5(9 + y)

Reorder the terms:
6(-7 + y) = 5(9 + y)
(-7 * 6 + y * 6) = 5(9 + y)
(-42 + 6y) = 5(9 + y)
-42 + 6y = (9 * 5 + y * 5)
-42 + 6y = (45 + 5y)

Solving
-42 + 6y = 45 + 5y

Solving for variable 'y'.

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

Add '-5y' to each side of the equation.
-42 + 6y + -5y = 45 + 5y + -5y

Combine like terms: 6y + -5y = 1y
-42 + 1y = 45 + 5y + -5y

Combine like terms: 5y + -5y = 0
-42 + 1y = 45 + 0
-42 + 1y = 45

Add '42' to each side of the equation.
-42 + 42 + 1y = 45 + 42

Combine like terms: -42 + 42 = 0
0 + 1y = 45 + 42
1y = 45 + 42

Combine like terms: 45 + 42 = 87
1y = 87

Divide each side by '1'.
y = 87

Simplifying
y = 87