Solve 109y*8^2+91=43div2^2-1000

$$109y \times { 8 }^{ 2 } +91=43 \div { 2 }^{ 2 } -1000$$

Solve for y

$$y=-\frac{4321}{27904}\approx -0.154852351$$

Steps for Solving Linear Equation

Calculate 8 to the power of 2 and get 64.

$$109y\times 64+91=\frac{43}{2^{2}}-1000$$

Multiply 109 and 64 to get 6976.

$$6976y+91=\frac{43}{2^{2}}-1000$$

Calculate 2 to the power of 2 and get 4.

$$6976y+91=\frac{43}{4}-1000$$

Convert 1000 to fraction \frac{4000}{4}.

$$6976y+91=\frac{43}{4}-\frac{4000}{4}$$

Since \frac{43}{4} and \frac{4000}{4} have the same denominator, subtract them by subtracting their numerators.

$$6976y+91=\frac{43-4000}{4}$$

Subtract 4000 from 43 to get -3957.

$$6976y+91=-\frac{3957}{4}$$

Subtract 91 from both sides.

$$6976y=-\frac{3957}{4}-91$$

Convert 91 to fraction \frac{364}{4}.

$$6976y=-\frac{3957}{4}-\frac{364}{4}$$

Since -\frac{3957}{4} and \frac{364}{4} have the same denominator, subtract them by subtracting their numerators.

$$6976y=\frac{-3957-364}{4}$$

Subtract 364 from -3957 to get -4321.

$$6976y=-\frac{4321}{4}$$

Divide both sides by 6976.

$$y=\frac{-\frac{4321}{4}}{6976}$$

Express \frac{-\frac{4321}{4}}{6976} as a single fraction.

$$y=\frac{-4321}{4\times 6976}$$

Multiply 4 and 6976 to get 27904.

$$y=\frac{-4321}{27904}$$

Fraction \frac{-4321}{27904} can be rewritten as -\frac{4321}{27904} by extracting the negative sign.

$$y=-\frac{4321}{27904}$$