Solve 4(y+0.5)=7

$$4 ( y + 0.5 ) = 7$$

Solve for y

$$y=1.25$$

Steps for Solving Linear Equation

Divide both sides by 4.

$$y+0.5=\frac{7}{4}$$

Subtract 0.5 from both sides.

$$y=\frac{7}{4}-0.5$$

Convert decimal number 0.5 to fraction \frac{5}{10}. Reduce the fraction \frac{5}{10} to lowest terms by extracting and canceling out 5.

$$y=\frac{7}{4}-\frac{1}{2}$$

Least common multiple of 4 and 2 is 4. Convert \frac{7}{4} and \frac{1}{2} to fractions with denominator 4.

$$y=\frac{7}{4}-\frac{2}{4}$$

Since \frac{7}{4} and \frac{2}{4} have the same denominator, subtract them by subtracting their numerators.

$$y=\frac{7-2}{4}$$

Subtract 2 from 7 to get 5.

$$y=\frac{5}{4}$$