Solve for y
y=\frac{5}{8}=0.625
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2\left(1\times 2+1\right)-8y=1
Multiply both sides of the equation by 4, the least common multiple of 2,4.
2\left(2+1\right)-8y=1
Multiply 1 and 2 to get 2.
2\times 3-8y=1
Add 2 and 1 to get 3.
6-8y=1
Multiply 2 and 3 to get 6.
-8y=1-6
Subtract 6 from both sides.
-8y=-5
Subtract 6 from 1 to get -5.
y=\frac{-5}{-8}
Divide both sides by -8.
y=\frac{5}{8}
Fraction \frac{-5}{-8} can be simplified to \frac{5}{8} by removing the negative sign from both the numerator and the denominator.
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}