Solve for y
y=\frac{5}{56}\approx 0.089285714
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y≔\frac{5}{56}
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y=\frac{1-\frac{3\times 3}{14}}{4}
Express 3\times \frac{3}{14} as a single fraction.
y=\frac{1-\frac{9}{14}}{4}
Multiply 3 and 3 to get 9.
y=\frac{\frac{14}{14}-\frac{9}{14}}{4}
Convert 1 to fraction \frac{14}{14}.
y=\frac{\frac{14-9}{14}}{4}
Since \frac{14}{14} and \frac{9}{14} have the same denominator, subtract them by subtracting their numerators.
y=\frac{\frac{5}{14}}{4}
Subtract 9 from 14 to get 5.
y=\frac{5}{14\times 4}
Express \frac{\frac{5}{14}}{4} as a single fraction.
y=\frac{5}{56}
Multiply 14 and 4 to get 56.
Examples
Quadratic equation
{ x } ^ { 2 } - 4 x - 5 = 0
Trigonometry
4 \sin \theta \cos \theta = 2 \sin \theta
Linear equation
y = 3x + 4
Arithmetic
699 * 533
Matrix
\left[ \begin{array} { l l } { 2 } & { 3 } \\ { 5 } & { 4 } \end{array} \right] \left[ \begin{array} { l l l } { 2 } & { 0 } & { 3 } \\ { -1 } & { 1 } & { 5 } \end{array} \right]
Simultaneous equation
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
Differentiation
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Limits
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}