4/3y=48 solve for y simplify answer as much as posible

Question

asked Apr 19, 2022 143k views

1 Answer

Pwdst · Answer 1 · 2022-04-23T17:03:54+0000

$(4)/(3y) = 48 \\$

Inverse both sides

$(3y)/(4) = (1)/(48) \\$

Multiply both sides by 4

$4 * (3y)/(4) = 4 * (1)/(48) \\$

$3y = (4)/(48) \\$

$3y = (4 * 1)/(4 * 12) \\$

$3y = (1)/(12) \\$

Divide both sides by 3

$3y / 3 = (1)/(12) / 3 \\$

$y = (1)/(12) * (1)/(3) \\$

$y = (1)/(36) \\$

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$(4)/(3) y = 48 \\$

Multiply both sides by the 3

$3 * (4)/(3) y = 3 * 48 \\$

4y = 3 * 48

Divide both sides by 4

4y / 4 = 3 * 48 / 4

$y = (48 * 3)/(4) \\$

$y = (4 * 12 * 3)/(4 * 1) \\$

y = 12 * 3

y = 36