(y+3)-(y-5)7=

Solution for (y+3)-(y-5)7= equation:

Simplifying
(y + 3) + -1(y + -5) * 7 = 0

Reorder the terms:
(3 + y) + -1(y + -5) * 7 = 0

Remove parenthesis around (3 + y)
3 + y + -1(y + -5) * 7 = 0

Reorder the terms:
3 + y + -1(-5 + y) * 7 = 0

Reorder the terms for easier multiplication:
3 + y + -1 * 7(-5 + y) = 0

Multiply -1 * 7
3 + y + -7(-5 + y) = 0
3 + y + (-5 * -7 + y * -7) = 0
3 + y + (35 + -7y) = 0

Reorder the terms:
3 + 35 + y + -7y = 0

Combine like terms: 3 + 35 = 38
38 + y + -7y = 0

Combine like terms: y + -7y = -6y
38 + -6y = 0

Solving
38 + -6y = 0

Solving for variable 'y'.

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

Add '-38' to each side of the equation.
38 + -38 + -6y = 0 + -38

Combine like terms: 38 + -38 = 0
0 + -6y = 0 + -38
-6y = 0 + -38

Combine like terms: 0 + -38 = -38
-6y = -38

Divide each side by '-6'.
y = 6.333333333

Simplifying
y = 6.333333333