6(y-9)=-2y(5)

Solution for 6(y-9)=-2y(5) equation:

Simplifying
6(y + -9) = -2y(5)

Reorder the terms:
6(-9 + y) = -2y(5)
(-9 * 6 + y * 6) = -2y(5)
(-54 + 6y) = -2y(5)

Reorder the terms for easier multiplication:
-54 + 6y = -2 * 5y

Multiply -2 * 5
-54 + 6y = -10y

Solving
-54 + 6y = -10y

Solving for variable 'y'.

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

Add '10y' to each side of the equation.
-54 + 6y + 10y = -10y + 10y

Combine like terms: 6y + 10y = 16y
-54 + 16y = -10y + 10y

Combine like terms: -10y + 10y = 0
-54 + 16y = 0

Add '54' to each side of the equation.
-54 + 54 + 16y = 0 + 54

Combine like terms: -54 + 54 = 0
0 + 16y = 0 + 54
16y = 0 + 54

Combine like terms: 0 + 54 = 54
16y = 54

Divide each side by '16'.
y = 3.375

Simplifying
y = 3.375