Solve for y
y=\frac{8}{9}\approx 0.888888889
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-5\left(3y-4\right)=4\left(3y-1\right)
Variable y cannot be equal to \frac{1}{3} since division by zero is not defined. Multiply both sides of the equation by 10\left(3y-1\right), the least common multiple of 2-6y,5.
-15y+20=4\left(3y-1\right)
Use the distributive property to multiply -5 by 3y-4.
-15y+20=12y-4
Use the distributive property to multiply 4 by 3y-1.
-15y+20-12y=-4
Subtract 12y from both sides.
-27y+20=-4
Combine -15y and -12y to get -27y.
-27y=-4-20
Subtract 20 from both sides.
-27y=-24
Subtract 20 from -4 to get -24.
y=\frac{-24}{-27}
Divide both sides by -27.
y=\frac{8}{9}
Reduce the fraction \frac{-24}{-27} to lowest terms by extracting and canceling out -3.
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}