7y-2(y+3)=14

Solution for 7y-2(y+3)=14 equation:

Simplifying
7y + -2(y + 3) = 14

Reorder the terms:
7y + -2(3 + y) = 14
7y + (3 * -2 + y * -2) = 14
7y + (-6 + -2y) = 14

Reorder the terms:
-6 + 7y + -2y = 14

Combine like terms: 7y + -2y = 5y
-6 + 5y = 14

Solving
-6 + 5y = 14

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 + 5y = 14 + 6

Combine like terms: -6 + 6 = 0
0 + 5y = 14 + 6
5y = 14 + 6

Combine like terms: 14 + 6 = 20
5y = 20

Divide each side by '5'.
y = 4

Simplifying
y = 4