2(3-y)=8+4(5-7)

Solution for 2(3-y)=8+4(5-7) equation:

Simplifying
2(3 + -1y) = 8 + 4(5 + -7)
(3 * 2 + -1y * 2) = 8 + 4(5 + -7)
(6 + -2y) = 8 + 4(5 + -7)

Combine like terms: 5 + -7 = -2
6 + -2y = 8 + 4(-2)

Multiply 4 * -2
6 + -2y = 8 + -8

Combine like terms: 8 + -8 = 0
6 + -2y = 0

Solving
6 + -2y = 0

Solving for variable 'y'.

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

Add '-6' to each side of the equation.
6 + -6 + -2y = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -2y = 0 + -6
-2y = 0 + -6

Combine like terms: 0 + -6 = -6
-2y = -6

Divide each side by '-2'.
y = 3

Simplifying
y = 3