3(4-4)=5(y+2)

Solution for 3(4-4)=5(y+2) equation:

Simplifying
3(4 + -4) = 5(y + 2)

Combine like terms: 4 + -4 = 0
3(0) = 5(y + 2)

Multiply 3 * 0
0 = 5(y + 2)

Anything times zero is zero.
0 = 5(y + 2)

Reorder the terms:
0 = 5(2 + y)
0 = (2 * 5 + y * 5)
0 = (10 + 5y)

Solving
0 = 10 + 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.
0 + -5y = 10 + 5y + -5y
Remove the zero:
-5y = 10 + 5y + -5y

Combine like terms: 5y + -5y = 0
-5y = 10 + 0
-5y = 10

Divide each side by '-5'.
y = -2

Simplifying
y = -2