6-7y=2(-4)y+1

Solution for 6-7y=2(-4)y+1 equation:

Simplifying
6 + -7y = 2(-4) * y + 1

Multiply 2 * -4
6 + -7y = -8y + 1

Reorder the terms:
6 + -7y = 1 + -8y

Solving
6 + -7y = 1 + -8y

Solving for variable 'y'.

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

Add '8y' to each side of the equation.
6 + -7y + 8y = 1 + -8y + 8y

Combine like terms: -7y + 8y = 1y
6 + 1y = 1 + -8y + 8y

Combine like terms: -8y + 8y = 0
6 + 1y = 1 + 0
6 + 1y = 1

Add '-6' to each side of the equation.
6 + -6 + 1y = 1 + -6

Combine like terms: 6 + -6 = 0
0 + 1y = 1 + -6
1y = 1 + -6

Combine like terms: 1 + -6 = -5
1y = -5

Divide each side by '1'.
y = -5

Simplifying
y = -5