Solve 4(3.5y+0.25)=365

$$4 ( 3.5 y + 0.25 ) = 365$$

Solve for y

$$y=26$$

Steps for Solving Linear Equation

Divide both sides by 4.

$$3.5y+0.25=\frac{365}{4}$$

Subtract 0.25 from both sides.

$$3.5y=\frac{365}{4}-0.25$$

Convert decimal number 0.25 to fraction \frac{25}{100}. Reduce the fraction \frac{25}{100} to lowest terms by extracting and canceling out 25.

$$3.5y=\frac{365}{4}-\frac{1}{4}$$

Since \frac{365}{4} and \frac{1}{4} have the same denominator, subtract them by subtracting their numerators.

$$3.5y=\frac{365-1}{4}$$

Subtract 1 from 365 to get 364.

$$3.5y=\frac{364}{4}$$

Divide 364 by 4 to get 91.

$$3.5y=91$$

Divide both sides by 3.5.

$$y=\frac{91}{3.5}$$

Expand \frac{91}{3.5} by multiplying both numerator and the denominator by 10.

$$y=\frac{910}{35}$$

Divide 910 by 35 to get 26.

$$y=26$$