What is expand (1/2 x+3/4 y=30)*(-4/3) ?

The solution to expand (1/2 x+3/4 y=30)*(-4/3) is -(2x)/3-y=30

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expand (1/2 x+3/4 y=30)*(-4/3)

expand

(\frac{1}{2} x + \frac{3}{4} y = 30) \cdot (- \frac{4}{3})

- \frac{2 x}{3} - y = 30

Solution steps

(\frac{1}{2} x + \frac{3}{4} y = 30) (- \frac{4}{3})

= (- \frac{4}{3}) (\frac{1}{2} x + 30 \cdot \frac{3}{4} = y)

Apply the distributive law:

a (b + c) = ab + a c

a = (- \frac{4}{3}), b = \frac{1}{2} x, c = \frac{3}{4} y = 30

(- \frac{4}{3}) \frac{1}{2} x + (- \frac{4}{3}) \frac{3}{4} y = 30

\frac{1}{2} (- \frac{4}{3}) x + \frac{3}{4} (- \frac{4}{3}) y = 30

Expand

\frac{1}{2} (- \frac{4}{3}) x + \frac{3}{4} (- \frac{4}{3}) y : - \frac{2 x}{3} - y

- \frac{2 x}{3} - y = 30

e^{x} \cdot (x - 1)

(x^{2} - y^{2}) d x + 2 y x d y

(y^{2} - x) d x + 2 y d y

\frac{( x - 4 ) x}{( x ^{2} - 4 ) ( x + 3 )}

- \frac{x ^{2} ( - 10 x ^{3} + 3 x ^{2} - 60 x )}{20}

What is expand (1/2 x+3/4 y=30)*(-4/3) ?
The solution to expand (1/2 x+3/4 y=30)*(-4/3) is -(2x)/3-y=30