Question

Rearrange the equation below to solve for y.
4y - 3a = 13a

Answer 1

Hi there!

The rearranged equation solving for y is “y = 4a”

Move all the terms not containing the y to the right side of the equation.

4y = 16a

Then divide both sides by 4!

Hope this helps!

Answer 2

`\boxed{\huge {\sf y = 4a}}`

Explanation:

`\sf Solve \: for \: y: \\ \sf \implies 4y - 3a = 13a \\ \\ \sf Add \: 3a \: to \: both \: sides: \\ \sf \implies 4y + ( \boxed{ \sf 3a} - 3a) = \boxed{ \sf 3a} + 13a \\ \\ \sf 3a - 3a = 0 : \\ \sf \implies 4y = 3a + 13a \\ \\ \sf 3a + 13a = 16a : \\ \sf \implies 4y = 16a \\ \\ \sf Divide \: both \: sides \: by \: 4: \\ \sf \implies \frac{4y}{ \boxed{ \sf 4}} = \frac{16a}{ \boxed{ \sf 4}} \\ \\ \sf (4y)/(4) = \frac{ \cancel{ \sf 4}}{\cancel{ \sf 4}} * y = y : \\ \sf \implies y = (16a)/(4) \\ \\ \sf (16a)/(4) = \frac{\cancel{ \sf 4} * 4a}{\cancel{ \sf 4}} = 4a : \\ \sf \implies y = 4a`