4(y+1)-7=3(y-1)+w

Solution for 4(y+1)-7=3(y-1)+w equation:

Simplifying
4(y + 1) + -7 = 3(y + -1) + w

Reorder the terms:
4(1 + y) + -7 = 3(y + -1) + w
(1 * 4 + y * 4) + -7 = 3(y + -1) + w
(4 + 4y) + -7 = 3(y + -1) + w

Reorder the terms:
4 + -7 + 4y = 3(y + -1) + w

Combine like terms: 4 + -7 = -3
-3 + 4y = 3(y + -1) + w

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

Reorder the terms:
-3 + 4y = -3 + w + 3y

Add '3' to each side of the equation.
-3 + 3 + 4y = -3 + w + 3 + 3y

Combine like terms: -3 + 3 = 0
0 + 4y = -3 + w + 3 + 3y
4y = -3 + w + 3 + 3y

Reorder the terms:
4y = -3 + 3 + w + 3y

Combine like terms: -3 + 3 = 0
4y = 0 + w + 3y
4y = w + 3y

Solving
4y = w + 3y

Solving for variable 'y'.

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

Add '-3y' to each side of the equation.
4y + -3y = w + 3y + -3y

Combine like terms: 4y + -3y = 1y
1y = w + 3y + -3y

Combine like terms: 3y + -3y = 0
1y = w + 0
1y = w

Divide each side by '1'.
y = w

Simplifying
y = w