2(y-3)+7y=19

Solution for 2(y-3)+7y=19 equation:

Simplifying
2(y + -3) + 7y = 19

Reorder the terms:
2(-3 + y) + 7y = 19
(-3 * 2 + y * 2) + 7y = 19
(-6 + 2y) + 7y = 19

Combine like terms: 2y + 7y = 9y
-6 + 9y = 19

Solving
-6 + 9y = 19

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 + 9y = 19 + 6

Combine like terms: -6 + 6 = 0
0 + 9y = 19 + 6
9y = 19 + 6

Combine like terms: 19 + 6 = 25
9y = 25

Divide each side by '9'.
y = 2.777777778

Simplifying
y = 2.777777778