6(-5y-25)-2y=42

Solution for 6(-5y-25)-2y=42 equation:

Simplifying
6(-5y + -25) + -2y = 42

Reorder the terms:
6(-25 + -5y) + -2y = 42
(-25 * 6 + -5y * 6) + -2y = 42
(-150 + -30y) + -2y = 42

Combine like terms: -30y + -2y = -32y
-150 + -32y = 42

Solving
-150 + -32y = 42

Solving for variable 'y'.

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

Add '150' to each side of the equation.
-150 + 150 + -32y = 42 + 150

Combine like terms: -150 + 150 = 0
0 + -32y = 42 + 150
-32y = 42 + 150

Combine like terms: 42 + 150 = 192
-32y = 192

Divide each side by '-32'.
y = -6

Simplifying
y = -6