Solve 12.3(y+5)-(4y-8)=-2y+10

$$12.3 ( y + 5 ) - ( 4 y - 8 ) = - 2 y + 10$$

Solve for y

$$y = -\frac{595}{103} = -5\frac{80}{103} \approx -5.776699029$$

Steps for Solving Linear Equation

Use the distributive property to multiply 12.3 by y+5.

$$12.3y+61.5-\left(4y-8\right)=-2y+10$$

To find the opposite of 4y-8, find the opposite of each term.

$$12.3y+61.5-4y-\left(-8\right)=-2y+10$$

The opposite of -8 is 8.

$$12.3y+61.5-4y+8=-2y+10$$

Combine 12.3y and -4y to get 8.3y.

$$8.3y+61.5+8=-2y+10$$

Add 61.5 and 8 to get 69.5.

$$8.3y+69.5=-2y+10$$

Add 2y to both sides.

$$8.3y+69.5+2y=10$$

Combine 8.3y and 2y to get 10.3y.

$$10.3y+69.5=10$$

Subtract 69.5 from both sides.

$$10.3y=10-69.5$$

Subtract 69.5 from 10 to get -59.5.

$$10.3y=-59.5$$

Divide both sides by 10.3.

$$y=\frac{-59.5}{10.3}$$

Expand \frac{-59.5}{10.3} by multiplying both numerator and the denominator by 10.

$$y=\frac{-595}{103}$$

Fraction \frac{-595}{103} can be rewritten as -\frac{595}{103} by extracting the negative sign.

$$y=-\frac{595}{103}$$