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

Solution for 8(y-7)=-2(y+3) equation:

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

Reorder the terms:
8(-7 + y) = -2(y + 3)
(-7 * 8 + y * 8) = -2(y + 3)
(-56 + 8y) = -2(y + 3)

Reorder the terms:
-56 + 8y = -2(3 + y)
-56 + 8y = (3 * -2 + y * -2)
-56 + 8y = (-6 + -2y)

Solving
-56 + 8y = -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.
-56 + 8y + 2y = -6 + -2y + 2y

Combine like terms: 8y + 2y = 10y
-56 + 10y = -6 + -2y + 2y

Combine like terms: -2y + 2y = 0
-56 + 10y = -6 + 0
-56 + 10y = -6

Add '56' to each side of the equation.
-56 + 56 + 10y = -6 + 56

Combine like terms: -56 + 56 = 0
0 + 10y = -6 + 56
10y = -6 + 56

Combine like terms: -6 + 56 = 50
10y = 50

Divide each side by '10'.
y = 5

Simplifying
y = 5