5(7-y)-3(y+4)-4=4(y-3)+7

Solution for 5(7-y)-3(y+4)-4=4(y-3)+7 equation:

Simplifying
5(7 + -1y) + -3(y + 4) + -4 = 4(y + -3) + 7
(7 * 5 + -1y * 5) + -3(y + 4) + -4 = 4(y + -3) + 7
(35 + -5y) + -3(y + 4) + -4 = 4(y + -3) + 7

Reorder the terms:
35 + -5y + -3(4 + y) + -4 = 4(y + -3) + 7
35 + -5y + (4 * -3 + y * -3) + -4 = 4(y + -3) + 7
35 + -5y + (-12 + -3y) + -4 = 4(y + -3) + 7

Reorder the terms:
35 + -12 + -4 + -5y + -3y = 4(y + -3) + 7

Combine like terms: 35 + -12 = 23
23 + -4 + -5y + -3y = 4(y + -3) + 7

Combine like terms: 23 + -4 = 19
19 + -5y + -3y = 4(y + -3) + 7

Combine like terms: -5y + -3y = -8y
19 + -8y = 4(y + -3) + 7

Reorder the terms:
19 + -8y = 4(-3 + y) + 7
19 + -8y = (-3 * 4 + y * 4) + 7
19 + -8y = (-12 + 4y) + 7

Reorder the terms:
19 + -8y = -12 + 7 + 4y

Combine like terms: -12 + 7 = -5
19 + -8y = -5 + 4y

Solving
19 + -8y = -5 + 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.
19 + -8y + -4y = -5 + 4y + -4y

Combine like terms: -8y + -4y = -12y
19 + -12y = -5 + 4y + -4y

Combine like terms: 4y + -4y = 0
19 + -12y = -5 + 0
19 + -12y = -5

Add '-19' to each side of the equation.
19 + -19 + -12y = -5 + -19

Combine like terms: 19 + -19 = 0
0 + -12y = -5 + -19
-12y = -5 + -19

Combine like terms: -5 + -19 = -24
-12y = -24

Divide each side by '-12'.
y = 2

Simplifying
y = 2