32=(y*7)-(y*3)

Solution for 32=(y*7)-(y*3) equation:

Simplifying
32 = (y * 7) + -1(y * 3)

Reorder the terms for easier multiplication:
32 = (7y) + -1(y * 3)

Reorder the terms for easier multiplication:
32 = (7y) + -1(3y)

Remove parenthesis around (3y)
32 = (7y) + -1 * 3y

Multiply -1 * 3
32 = (7y) + -3y

Combine like terms: (7y) + -3y = 4y
32 = 4y

Solving
32 = 4y

Solving for variable 'y'.

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

Add '-4y' to each side of the equation.
32 + -4y = 4y + -4y

Combine like terms: 4y + -4y = 0
32 + -4y = 0

Add '-32' to each side of the equation.
32 + -32 + -4y = 0 + -32

Combine like terms: 32 + -32 = 0
0 + -4y = 0 + -32
-4y = 0 + -32

Combine like terms: 0 + -32 = -32
-4y = -32

Divide each side by '-4'.
y = 8

Simplifying
y = 8