4(y+7)-2(y-4)=3(y-2)

Solution for 4(y+7)-2(y-4)=3(y-2) equation:

Simplifying
4(y + 7) + -2(y + -4) = 3(y + -2)

Reorder the terms:
4(7 + y) + -2(y + -4) = 3(y + -2)
(7 * 4 + y * 4) + -2(y + -4) = 3(y + -2)
(28 + 4y) + -2(y + -4) = 3(y + -2)

Reorder the terms:
28 + 4y + -2(-4 + y) = 3(y + -2)
28 + 4y + (-4 * -2 + y * -2) = 3(y + -2)
28 + 4y + (8 + -2y) = 3(y + -2)

Reorder the terms:
28 + 8 + 4y + -2y = 3(y + -2)

Combine like terms: 28 + 8 = 36
36 + 4y + -2y = 3(y + -2)

Combine like terms: 4y + -2y = 2y
36 + 2y = 3(y + -2)

Reorder the terms:
36 + 2y = 3(-2 + y)
36 + 2y = (-2 * 3 + y * 3)
36 + 2y = (-6 + 3y)

Solving
36 + 2y = -6 + 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.
36 + 2y + -3y = -6 + 3y + -3y

Combine like terms: 2y + -3y = -1y
36 + -1y = -6 + 3y + -3y

Combine like terms: 3y + -3y = 0
36 + -1y = -6 + 0
36 + -1y = -6

Add '-36' to each side of the equation.
36 + -36 + -1y = -6 + -36

Combine like terms: 36 + -36 = 0
0 + -1y = -6 + -36
-1y = -6 + -36

Combine like terms: -6 + -36 = -42
-1y = -42

Divide each side by '-1'.
y = 42

Simplifying
y = 42