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

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

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

Reorder the terms:
2(-3 + y) + 3(y + 4) = 4(y + 2)
(-3 * 2 + y * 2) + 3(y + 4) = 4(y + 2)
(-6 + 2y) + 3(y + 4) = 4(y + 2)

Reorder the terms:
-6 + 2y + 3(4 + y) = 4(y + 2)
-6 + 2y + (4 * 3 + y * 3) = 4(y + 2)
-6 + 2y + (12 + 3y) = 4(y + 2)

Reorder the terms:
-6 + 12 + 2y + 3y = 4(y + 2)

Combine like terms: -6 + 12 = 6
6 + 2y + 3y = 4(y + 2)

Combine like terms: 2y + 3y = 5y
6 + 5y = 4(y + 2)

Reorder the terms:
6 + 5y = 4(2 + y)
6 + 5y = (2 * 4 + y * 4)
6 + 5y = (8 + 4y)

Solving
6 + 5y = 8 + 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.
6 + 5y + -4y = 8 + 4y + -4y

Combine like terms: 5y + -4y = 1y
6 + 1y = 8 + 4y + -4y

Combine like terms: 4y + -4y = 0
6 + 1y = 8 + 0
6 + 1y = 8

Add '-6' to each side of the equation.
6 + -6 + 1y = 8 + -6

Combine like terms: 6 + -6 = 0
0 + 1y = 8 + -6
1y = 8 + -6

Combine like terms: 8 + -6 = 2
1y = 2

Divide each side by '1'.
y = 2

Simplifying
y = 2