7(y-5)=3(2-y)-1

Solution for 7(y-5)=3(2-y)-1 equation:

Simplifying
7(y + -5) = 3(2 + -1y) + -1

Reorder the terms:
7(-5 + y) = 3(2 + -1y) + -1
(-5 * 7 + y * 7) = 3(2 + -1y) + -1
(-35 + 7y) = 3(2 + -1y) + -1
-35 + 7y = (2 * 3 + -1y * 3) + -1
-35 + 7y = (6 + -3y) + -1

Reorder the terms:
-35 + 7y = 6 + -1 + -3y

Combine like terms: 6 + -1 = 5
-35 + 7y = 5 + -3y

Solving
-35 + 7y = 5 + -3y

Solving for variable 'y'.

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

Add '3y' to each side of the equation.
-35 + 7y + 3y = 5 + -3y + 3y

Combine like terms: 7y + 3y = 10y
-35 + 10y = 5 + -3y + 3y

Combine like terms: -3y + 3y = 0
-35 + 10y = 5 + 0
-35 + 10y = 5

Add '35' to each side of the equation.
-35 + 35 + 10y = 5 + 35

Combine like terms: -35 + 35 = 0
0 + 10y = 5 + 35
10y = 5 + 35

Combine like terms: 5 + 35 = 40
10y = 40

Divide each side by '10'.
y = 4

Simplifying
y = 4