Solve 64(0.5-y)/56+y=0.64

$$\frac { 64 ( 0.5 - y ) } { 56 } + y = 0.64$$

Solve for y

$$y=-0.48$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 56.

$$64\left(0.5-y\right)+56y=35.84$$

Use the distributive property to multiply 64 by 0.5-y.

$$32-64y+56y=35.84$$

Combine -64y and 56y to get -8y.

$$32-8y=35.84$$

Subtract 32 from both sides.

$$-8y=35.84-32$$

Subtract 32 from 35.84 to get 3.84.

$$-8y=3.84$$

Divide both sides by -8.

$$y=\frac{3.84}{-8}$$

Expand \frac{3.84}{-8} by multiplying both numerator and the denominator by 100.

$$y=\frac{384}{-800}$$

Reduce the fraction \frac{384}{-800} to lowest terms by extracting and canceling out 32.

$$y=-\frac{12}{25}$$