Solve for y
y=-\frac{5}{14}\approx -0.357142857
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34+4y-5=24-10y
Multiply both sides of the equation by 2.
29+4y=24-10y
Subtract 5 from 34 to get 29.
29+4y+10y=24
Add 10y to both sides.
29+14y=24
Combine 4y and 10y to get 14y.
14y=24-29
Subtract 29 from both sides.
14y=-5
Subtract 29 from 24 to get -5.
y=\frac{-5}{14}
Divide both sides by 14.
y=-\frac{5}{14}
Fraction \frac{-5}{14} can be rewritten as -\frac{5}{14} by extracting the negative sign.
Examples
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{ 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}