(y-3)-(y+4)=5y

Solution for (y-3)-(y+4)=5y equation:

Simplifying
(y + -3) + -1(y + 4) = 5y

Reorder the terms:
(-3 + y) + -1(y + 4) = 5y

Remove parenthesis around (-3 + y)
-3 + y + -1(y + 4) = 5y

Reorder the terms:
-3 + y + -1(4 + y) = 5y
-3 + y + (4 * -1 + y * -1) = 5y
-3 + y + (-4 + -1y) = 5y

Reorder the terms:
-3 + -4 + y + -1y = 5y

Combine like terms: -3 + -4 = -7
-7 + y + -1y = 5y

Combine like terms: y + -1y = 0
-7 + 0 = 5y
-7 = 5y

Solving
-7 = 5y

Solving for variable 'y'.

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

Add '-5y' to each side of the equation.
-7 + -5y = 5y + -5y

Combine like terms: 5y + -5y = 0
-7 + -5y = 0

Add '7' to each side of the equation.
-7 + 7 + -5y = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -5y = 0 + 7
-5y = 0 + 7

Combine like terms: 0 + 7 = 7
-5y = 7

Divide each side by '-5'.
y = -1.4

Simplifying
y = -1.4