4(2y-5)-3(5+y)=0

Solution for 4(2y-5)-3(5+y)=0 equation:

Simplifying
4(2y + -5) + -3(5 + y) = 0

Reorder the terms:
4(-5 + 2y) + -3(5 + y) = 0
(-5 * 4 + 2y * 4) + -3(5 + y) = 0
(-20 + 8y) + -3(5 + y) = 0
-20 + 8y + (5 * -3 + y * -3) = 0
-20 + 8y + (-15 + -3y) = 0

Reorder the terms:
-20 + -15 + 8y + -3y = 0

Combine like terms: -20 + -15 = -35
-35 + 8y + -3y = 0

Combine like terms: 8y + -3y = 5y
-35 + 5y = 0

Solving
-35 + 5y = 0

Solving for variable 'y'.

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

Add '35' to each side of the equation.
-35 + 35 + 5y = 0 + 35

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

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

Divide each side by '5'.
y = 7

Simplifying
y = 7