AB, CD and EF are straight lines. AB is parallel to CD. Work out the size of angle y

2x+16 3x-12

Answer: 28

Step-by-step explanation:

Simplifying

2x + 16 = 3x + - 12

Reorder the terms:

16 + 2x = 3x + - 12

Reorder the terms:

16 + 2x = - 12 + 3x

Solving

16 + 2x = - 12 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.

16 + 2x + - 3x = - 12 + 3x + - 3x

Combine like terms: 2x + - 3x = - 1x

16 + - 1x = - 12 + 3x + - 3x

Combine like terms: 3x + - 3x = 0

16 + - 1x = - 12 + 0

16 + - 1x = - 12

Add '-16' to each side of the equation.

16 + - 16 + - 1x = - 12 + - 16

Combine like terms: 16 + - 16 = 0

0 + - 1x = - 12 + - 16

-1x = - 12 + - 16

Combine like terms: - 12 + - 16 = - 28

-1x = - 28

Divide each side by '-1'.

x = 28

Simplifying

x = 28