Solve 16(13-25y/32)+15y=1

$$16( \frac{ 13-25y }{ 32 } )+15y = 1$$

Solve for y

$$y = -\frac{11}{5} = -2\frac{1}{5} = -2.2$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 32.

$$16\left(13-25y\right)+480y=32$$

Use the distributive property to multiply 16 by 13-25y.

$$208-400y+480y=32$$

Combine -400y and 480y to get 80y.

$$208+80y=32$$

Subtract 208 from both sides.

$$80y=32-208$$

Subtract 208 from 32 to get -176.

$$80y=-176$$

Divide both sides by 80.

$$y=\frac{-176}{80}$$

Reduce the fraction \frac{-176}{80} to lowest terms by extracting and canceling out 16.

$$y=-\frac{11}{5}$$