6(y+7)=2(y-3)

Solution for 6(y+7)=2(y-3) equation:

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

Reorder the terms:
6(7 + y) = 2(y + -3)
(7 * 6 + y * 6) = 2(y + -3)
(42 + 6y) = 2(y + -3)

Reorder the terms:
42 + 6y = 2(-3 + y)
42 + 6y = (-3 * 2 + y * 2)
42 + 6y = (-6 + 2y)

Solving
42 + 6y = -6 + 2y

Solving for variable 'y'.

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

Add '-2y' to each side of the equation.
42 + 6y + -2y = -6 + 2y + -2y

Combine like terms: 6y + -2y = 4y
42 + 4y = -6 + 2y + -2y

Combine like terms: 2y + -2y = 0
42 + 4y = -6 + 0
42 + 4y = -6

Add '-42' to each side of the equation.
42 + -42 + 4y = -6 + -42

Combine like terms: 42 + -42 = 0
0 + 4y = -6 + -42
4y = -6 + -42

Combine like terms: -6 + -42 = -48
4y = -48

Divide each side by '4'.
y = -12

Simplifying
y = -12