Solve 4y-217-7d/8+8

$$4 y - 217 \frac { - 7 d } { 8 } + 8$$

Evaluate

$$\frac{1519d}{8}+4y+8$$

Short Solution Steps

Express 217\times \frac{-7d}{8} as a single fraction.

$$4y-\frac{217\left(-7\right)d}{8}+8$$

Multiply 217 and -7 to get -1519.

$$4y-\frac{-1519d}{8}+8$$

To add or subtract expressions, expand them to make their denominators the same. Multiply 4y times \frac{8}{8}.

$$\frac{8\times 4y}{8}-\frac{-1519d}{8}+8$$

Since \frac{8\times 4y}{8} and \frac{-1519d}{8} have the same denominator, subtract them by subtracting their numerators.

$$\frac{8\times 4y-\left(-1519d\right)}{8}+8$$

Do the multiplications in 8\times 4y-\left(-1519d\right).

$$\frac{32y+1519d}{8}+8$$

To add or subtract expressions, expand them to make their denominators the same. Multiply 8 times \frac{8}{8}.

$$\frac{32y+1519d}{8}+\frac{8\times 8}{8}$$

Since \frac{32y+1519d}{8} and \frac{8\times 8}{8} have the same denominator, add them by adding their numerators.

$$\frac{32y+1519d+8\times 8}{8}$$

Do the multiplications in 32y+1519d+8\times 8.

$$\frac{32y+1519d+64}{8}$$

Factor

$$\frac{32y+1519d+64}{8}$$

Solution Steps

Factor out \frac{1}{8}.

$$\frac{32y+1519d+64}{8}$$