6(y-7)=-4(6+y)

Solution for 6(y-7)=-4(6+y) equation:

Simplifying
6(y + -7) = -4(6 + y)

Reorder the terms:
6(-7 + y) = -4(6 + y)
(-7 * 6 + y * 6) = -4(6 + y)
(-42 + 6y) = -4(6 + y)
-42 + 6y = (6 * -4 + y * -4)
-42 + 6y = (-24 + -4y)

Solving
-42 + 6y = -24 + -4y

Solving for variable 'y'.

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

Add '4y' to each side of the equation.
-42 + 6y + 4y = -24 + -4y + 4y

Combine like terms: 6y + 4y = 10y
-42 + 10y = -24 + -4y + 4y

Combine like terms: -4y + 4y = 0
-42 + 10y = -24 + 0
-42 + 10y = -24

Add '42' to each side of the equation.
-42 + 42 + 10y = -24 + 42

Combine like terms: -42 + 42 = 0
0 + 10y = -24 + 42
10y = -24 + 42

Combine like terms: -24 + 42 = 18
10y = 18

Divide each side by '10'.
y = 1.8

Simplifying
y = 1.8