5(6+7y)+3(1-8y)=42

Solution for 5(6+7y)+3(1-8y)=42 equation:

Simplifying
5(6 + 7y) + 3(1 + -8y) = 42
(6 * 5 + 7y * 5) + 3(1 + -8y) = 42
(30 + 35y) + 3(1 + -8y) = 42
30 + 35y + (1 * 3 + -8y * 3) = 42
30 + 35y + (3 + -24y) = 42

Reorder the terms:
30 + 3 + 35y + -24y = 42

Combine like terms: 30 + 3 = 33
33 + 35y + -24y = 42

Combine like terms: 35y + -24y = 11y
33 + 11y = 42

Solving
33 + 11y = 42

Solving for variable 'y'.

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

Add '-33' to each side of the equation.
33 + -33 + 11y = 42 + -33

Combine like terms: 33 + -33 = 0
0 + 11y = 42 + -33
11y = 42 + -33

Combine like terms: 42 + -33 = 9
11y = 9

Divide each side by '11'.
y = 0.8181818182

Simplifying
y = 0.8181818182