5(7y+10)-(4y+8)=

Solution for 5(7y+10)-(4y+8)= equation:

Simplifying
5(7y + 10) + -1(4y + 8) = 0

Reorder the terms:
5(10 + 7y) + -1(4y + 8) = 0
(10 * 5 + 7y * 5) + -1(4y + 8) = 0
(50 + 35y) + -1(4y + 8) = 0

Reorder the terms:
50 + 35y + -1(8 + 4y) = 0
50 + 35y + (8 * -1 + 4y * -1) = 0
50 + 35y + (-8 + -4y) = 0

Reorder the terms:
50 + -8 + 35y + -4y = 0

Combine like terms: 50 + -8 = 42
42 + 35y + -4y = 0

Combine like terms: 35y + -4y = 31y
42 + 31y = 0

Solving
42 + 31y = 0

Solving for variable 'y'.

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

Add '-42' to each side of the equation.
42 + -42 + 31y = 0 + -42

Combine like terms: 42 + -42 = 0
0 + 31y = 0 + -42
31y = 0 + -42

Combine like terms: 0 + -42 = -42
31y = -42

Divide each side by '31'.
y = -1.35483871

Simplifying
y = -1.35483871