(8y+6)=4(8y-1)+1

Solution for (8y+6)=4(8y-1)+1 equation:

Simplifying
(8y + 6) = 4(8y + -1) + 1

Reorder the terms:
(6 + 8y) = 4(8y + -1) + 1

Remove parenthesis around (6 + 8y)
6 + 8y = 4(8y + -1) + 1

Reorder the terms:
6 + 8y = 4(-1 + 8y) + 1
6 + 8y = (-1 * 4 + 8y * 4) + 1
6 + 8y = (-4 + 32y) + 1

Reorder the terms:
6 + 8y = -4 + 1 + 32y

Combine like terms: -4 + 1 = -3
6 + 8y = -3 + 32y

Solving
6 + 8y = -3 + 32y

Solving for variable 'y'.

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

Add '-32y' to each side of the equation.
6 + 8y + -32y = -3 + 32y + -32y

Combine like terms: 8y + -32y = -24y
6 + -24y = -3 + 32y + -32y

Combine like terms: 32y + -32y = 0
6 + -24y = -3 + 0
6 + -24y = -3

Add '-6' to each side of the equation.
6 + -6 + -24y = -3 + -6

Combine like terms: 6 + -6 = 0
0 + -24y = -3 + -6
-24y = -3 + -6

Combine like terms: -3 + -6 = -9
-24y = -9

Divide each side by '-24'.
y = 0.375

Simplifying
y = 0.375