7(-y+3)-3y=5

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

Simplifying
7(-1y + 3) + -3y = 5

Reorder the terms:
7(3 + -1y) + -3y = 5
(3 * 7 + -1y * 7) + -3y = 5
(21 + -7y) + -3y = 5

Combine like terms: -7y + -3y = -10y
21 + -10y = 5

Solving
21 + -10y = 5

Solving for variable 'y'.

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

Add '-21' to each side of the equation.
21 + -21 + -10y = 5 + -21

Combine like terms: 21 + -21 = 0
0 + -10y = 5 + -21
-10y = 5 + -21

Combine like terms: 5 + -21 = -16
-10y = -16

Divide each side by '-10'.
y = 1.6

Simplifying
y = 1.6