4(y+8)=3(y+14)

Solution for 4(y+8)=3(y+14) equation:

Simplifying
4(y + 8) = 3(y + 14)

Reorder the terms:
4(8 + y) = 3(y + 14)
(8 * 4 + y * 4) = 3(y + 14)
(32 + 4y) = 3(y + 14)

Reorder the terms:
32 + 4y = 3(14 + y)
32 + 4y = (14 * 3 + y * 3)
32 + 4y = (42 + 3y)

Solving
32 + 4y = 42 + 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.
32 + 4y + -3y = 42 + 3y + -3y

Combine like terms: 4y + -3y = 1y
32 + 1y = 42 + 3y + -3y

Combine like terms: 3y + -3y = 0
32 + 1y = 42 + 0
32 + 1y = 42

Add '-32' to each side of the equation.
32 + -32 + 1y = 42 + -32

Combine like terms: 32 + -32 = 0
0 + 1y = 42 + -32
1y = 42 + -32

Combine like terms: 42 + -32 = 10
1y = 10

Divide each side by '1'.
y = 10

Simplifying
y = 10