8y-2(y+3)=30

Solution for 8y-2(y+3)=30 equation:

Simplifying
8y + -2(y + 3) = 30

Reorder the terms:
8y + -2(3 + y) = 30
8y + (3 * -2 + y * -2) = 30
8y + (-6 + -2y) = 30

Reorder the terms:
-6 + 8y + -2y = 30

Combine like terms: 8y + -2y = 6y
-6 + 6y = 30

Solving
-6 + 6y = 30

Solving for variable 'y'.

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

Add '6' to each side of the equation.
-6 + 6 + 6y = 30 + 6

Combine like terms: -6 + 6 = 0
0 + 6y = 30 + 6
6y = 30 + 6

Combine like terms: 30 + 6 = 36
6y = 36

Divide each side by '6'.
y = 6

Simplifying
y = 6