Solve 0.10y+0.40=0.06(y+5)+0.05y

$$0.10 y + 0.40 = 0.06 ( y + 5 ) + 0.05 y$$

Solve for y

$$y=10$$

Steps for Solving Linear Equation

Use the distributive property to multiply 0.06 by y+5.

$$0.1y+0.4=0.06y+0.3+0.05y$$

Combine 0.06y and 0.05y to get 0.11y.

$$0.1y+0.4=0.11y+0.3$$

Subtract 0.11y from both sides.

$$0.1y+0.4-0.11y=0.3$$

Combine 0.1y and -0.11y to get -0.01y.

$$-0.01y+0.4=0.3$$

Subtract 0.4 from both sides.

$$-0.01y=0.3-0.4$$

Subtract 0.4 from 0.3 to get -0.1.

$$-0.01y=-0.1$$

Divide both sides by -0.01.

$$y=\frac{-0.1}{-0.01}$$

Expand \frac{-0.1}{-0.01} by multiplying both numerator and the denominator by 100.

$$y=\frac{-10}{-1}$$

Fraction \frac{-10}{-1} can be simplified to 10 by removing the negative sign from both the numerator and the denominator.

$$y=10$$