2(y-3)-7y=4

Solution for 2(y-3)-7y=4 equation:

Simplifying
2(y + -3) + -7y = 4

Reorder the terms:
2(-3 + y) + -7y = 4
(-3 * 2 + y * 2) + -7y = 4
(-6 + 2y) + -7y = 4

Combine like terms: 2y + -7y = -5y
-6 + -5y = 4

Solving
-6 + -5y = 4

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 = 4 + 6

Combine like terms: -6 + 6 = 0
0 + -5y = 4 + 6
-5y = 4 + 6

Combine like terms: 4 + 6 = 10
-5y = 10

Divide each side by '-5'.
y = -2

Simplifying
y = -2