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

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Solution for 16(y+2)=4(3y+4) equation: 


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

Reorder the terms:
16(2 + y) = 4(3y + 4)
(2 * 16 + y * 16) = 4(3y + 4)
(32 + 16y) = 4(3y + 4)

Reorder the terms:
32 + 16y = 4(4 + 3y)
32 + 16y = (4 * 4 + 3y * 4)
32 + 16y = (16 + 12y)

Solving
32 + 16y = 16 + 12y

Solving for variable 'y'.

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

Add '-12y' to each side of the equation.
32 + 16y + -12y = 16 + 12y + -12y

Combine like terms: 16y + -12y = 4y
32 + 4y = 16 + 12y + -12y

Combine like terms: 12y + -12y = 0
32 + 4y = 16 + 0
32 + 4y = 16

Add '-32' to each side of the equation.
32 + -32 + 4y = 16 + -32

Combine like terms: 32 + -32 = 0
0 + 4y = 16 + -32
4y = 16 + -32

Combine like terms: 16 + -32 = -16
4y = -16

Divide each side by '4'.
y = -4

Simplifying
y = -4

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