Solve 1.18=0.52*91.8*(Y+1)/(96+194)

$$1.18 = \frac { 0.52 \times 91.8 \times ( Y + 1 ) } { ( 96 + 194 ) }$$

Solve for Y

$$Y = \frac{36808}{5967} = 6\frac{1006}{5967} \approx 6.168593933$$

Steps for Solving Linear Equation

Multiply 0.52 and 91.8 to get 47.736.

$$1.18=\frac{47.736\left(Y+1\right)}{96+194}$$

Add 96 and 194 to get 290.

$$1.18=\frac{47.736\left(Y+1\right)}{290}$$

Divide 47.736\left(Y+1\right) by 290 to get \frac{5967}{36250}\left(Y+1\right).

$$1.18=\frac{5967}{36250}\left(Y+1\right)$$

Use the distributive property to multiply \frac{5967}{36250} by Y+1.

$$1.18=\frac{5967}{36250}Y+\frac{5967}{36250}$$

Swap sides so that all variable terms are on the left hand side.

$$\frac{5967}{36250}Y+\frac{5967}{36250}=1.18$$

Subtract \frac{5967}{36250} from both sides.

$$\frac{5967}{36250}Y=1.18-\frac{5967}{36250}$$

Subtract \frac{5967}{36250} from 1.18 to get \frac{18404}{18125}.

$$\frac{5967}{36250}Y=\frac{18404}{18125}$$

Divide both sides by \frac{5967}{36250}.

$$Y=\frac{\frac{18404}{18125}}{\frac{5967}{36250}}$$