6(1y+2)+2y=10-3(8y+2)

Solution for 6(1y+2)+2y=10-3(8y+2) equation:

Simplifying
6(1y + 2) + 2y = 10 + -3(8y + 2)

Reorder the terms:
6(2 + 1y) + 2y = 10 + -3(8y + 2)
(2 * 6 + 1y * 6) + 2y = 10 + -3(8y + 2)
(12 + 6y) + 2y = 10 + -3(8y + 2)

Combine like terms: 6y + 2y = 8y
12 + 8y = 10 + -3(8y + 2)

Reorder the terms:
12 + 8y = 10 + -3(2 + 8y)
12 + 8y = 10 + (2 * -3 + 8y * -3)
12 + 8y = 10 + (-6 + -24y)

Combine like terms: 10 + -6 = 4
12 + 8y = 4 + -24y

Solving
12 + 8y = 4 + -24y

Solving for variable 'y'.

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

Add '24y' to each side of the equation.
12 + 8y + 24y = 4 + -24y + 24y

Combine like terms: 8y + 24y = 32y
12 + 32y = 4 + -24y + 24y

Combine like terms: -24y + 24y = 0
12 + 32y = 4 + 0
12 + 32y = 4

Add '-12' to each side of the equation.
12 + -12 + 32y = 4 + -12

Combine like terms: 12 + -12 = 0
0 + 32y = 4 + -12
32y = 4 + -12

Combine like terms: 4 + -12 = -8
32y = -8

Divide each side by '32'.
y = -0.25

Simplifying
y = -0.25