Solve -1/4y+2y=-1-1/3

$$- \frac { 1 } { 4 } y + 2 y = - 1 - \frac { 1 } { 3 }$$

Solve for y

$$y=-\frac{16}{21}\approx -0.761904762$$

Steps for Solving Linear Equation

Combine -\frac{1}{4}y and 2y to get \frac{7}{4}y.

$$\frac{7}{4}y=-1-\frac{1}{3}$$

Convert -1 to fraction -\frac{3}{3}.

$$\frac{7}{4}y=-\frac{3}{3}-\frac{1}{3}$$

Since -\frac{3}{3} and \frac{1}{3} have the same denominator, subtract them by subtracting their numerators.

$$\frac{7}{4}y=\frac{-3-1}{3}$$

Subtract 1 from -3 to get -4.

$$\frac{7}{4}y=-\frac{4}{3}$$

Multiply both sides by \frac{4}{7}, the reciprocal of \frac{7}{4}.

$$y=-\frac{4}{3}\times \frac{4}{7}$$

Multiply -\frac{4}{3} times \frac{4}{7} by multiplying numerator times numerator and denominator times denominator.

$$y=\frac{-4\times 4}{3\times 7}$$

Do the multiplications in the fraction \frac{-4\times 4}{3\times 7}.

$$y=\frac{-16}{21}$$

Fraction \frac{-16}{21} can be rewritten as -\frac{16}{21} by extracting the negative sign.

$$y=-\frac{16}{21}$$