Solve 7-y/5=3/4

$$\frac { 7 - y } { 5 } = \frac { 3 } { 4 }$$

Solve for y

$$y = \frac{13}{4} = 3\frac{1}{4} = 3.25$$

Steps for Solving Linear Equation

Multiply both sides by 5.

$$7-y=\frac{3}{4}\times 5$$

Express \frac{3}{4}\times 5 as a single fraction.

$$7-y=\frac{3\times 5}{4}$$

Multiply 3 and 5 to get 15.

$$7-y=\frac{15}{4}$$

Subtract 7 from both sides.

$$-y=\frac{15}{4}-7$$

Convert 7 to fraction \frac{28}{4}.

$$-y=\frac{15}{4}-\frac{28}{4}$$

Since \frac{15}{4} and \frac{28}{4} have the same denominator, subtract them by subtracting their numerators.

$$-y=\frac{15-28}{4}$$

Subtract 28 from 15 to get -13.

$$-y=-\frac{13}{4}$$

Multiply both sides by -1.

$$y=\frac{13}{4}$$