Solve 1.1(y-1.5)=-1.1(y-13)

$$1.1 ( y - 1.5 ) = - 1.1 ( y - 13 )$$

Solve for y

$$y=7.25$$

Steps for Solving Linear Equation

Use the distributive property to multiply 1.1 by y-1.5.

$$1.1y-1.65=-1.1\left(y-13\right)$$

Use the distributive property to multiply -1.1 by y-13.

$$1.1y-1.65=-1.1y+14.3$$

Add 1.1y to both sides.

$$1.1y-1.65+1.1y=14.3$$

Combine 1.1y and 1.1y to get 2.2y.

$$2.2y-1.65=14.3$$

Add 1.65 to both sides.

$$2.2y=14.3+1.65$$

Add 14.3 and 1.65 to get 15.95.

$$2.2y=15.95$$

Divide both sides by 2.2.

$$y=\frac{15.95}{2.2}$$

Expand \frac{15.95}{2.2} by multiplying both numerator and the denominator by 100.

$$y=\frac{1595}{220}$$

Reduce the fraction \frac{1595}{220} to lowest terms by extracting and canceling out 55.

$$y=\frac{29}{4}$$