6y-2(y+3)=10

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

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

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

Reorder the terms:
-6 + 6y + -2y = 10

Combine like terms: 6y + -2y = 4y
-6 + 4y = 10

Solving
-6 + 4y = 10

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 + 4y = 10 + 6

Combine like terms: -6 + 6 = 0
0 + 4y = 10 + 6
4y = 10 + 6

Combine like terms: 10 + 6 = 16
4y = 16

Divide each side by '4'.
y = 4

Simplifying
y = 4