6y-42=-4(y+8)

Solution for 6y-42=-4(y+8) equation:

Simplifying
6y + -42 = -4(y + 8)

Reorder the terms:
-42 + 6y = -4(y + 8)

Reorder the terms:
-42 + 6y = -4(8 + y)
-42 + 6y = (8 * -4 + y * -4)
-42 + 6y = (-32 + -4y)

Solving
-42 + 6y = -32 + -4y

Solving for variable 'y'.

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

Add '4y' to each side of the equation.
-42 + 6y + 4y = -32 + -4y + 4y

Combine like terms: 6y + 4y = 10y
-42 + 10y = -32 + -4y + 4y

Combine like terms: -4y + 4y = 0
-42 + 10y = -32 + 0
-42 + 10y = -32

Add '42' to each side of the equation.
-42 + 42 + 10y = -32 + 42

Combine like terms: -42 + 42 = 0
0 + 10y = -32 + 42
10y = -32 + 42

Combine like terms: -32 + 42 = 10
10y = 10

Divide each side by '10'.
y = 1

Simplifying
y = 1