Solve 8-y+1/3=2y-5/4+7

$$8 - \frac { y + 1 } { 3 } = \frac { 2 y - 5 } { 4 } + 7$$

Solve for y

$$y = \frac{23}{10} = 2\frac{3}{10} = 2.3$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 12, the least common multiple of 3,4.

$$96-4\left(y+1\right)=3\left(2y-5\right)+84$$

Use the distributive property to multiply -4 by y+1.

$$96-4y-4=3\left(2y-5\right)+84$$

Subtract 4 from 96 to get 92.

$$92-4y=3\left(2y-5\right)+84$$

Use the distributive property to multiply 3 by 2y-5.

$$92-4y=6y-15+84$$

Add -15 and 84 to get 69.

$$92-4y=6y+69$$

Subtract 6y from both sides.

$$92-4y-6y=69$$

Combine -4y and -6y to get -10y.

$$92-10y=69$$

Subtract 92 from both sides.

$$-10y=69-92$$

Subtract 92 from 69 to get -23.

$$-10y=-23$$

Divide both sides by -10.

$$y=\frac{-23}{-10}$$

Fraction \frac{-23}{-10} can be simplified to \frac{23}{10} by removing the negative sign from both the numerator and the denominator.

$$y=\frac{23}{10}$$