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

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

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

Reorder the terms:
6(-2 + y) + 2y = 10 + -3(8y + 2)
(-2 * 6 + y * 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 = 16
32y = 16

Divide each side by '32'.
y = 0.5

Simplifying
y = 0.5