Solve for y
y = \frac{48}{37} = 1\frac{11}{37} \approx 1.297297297
Graph
Share
Copied to clipboard
9y=\left(y+6\right)\times 1.6
Variable y cannot be equal to -6 since division by zero is not defined. Multiply both sides of the equation by 9\left(y+6\right), the least common multiple of 6+y,9.
9y=1.6y+9.6
Use the distributive property to multiply y+6 by 1.6.
9y-1.6y=9.6
Subtract 1.6y from both sides.
7.4y=9.6
Combine 9y and -1.6y to get 7.4y.
y=\frac{9.6}{7.4}
Divide both sides by 7.4.
y=\frac{96}{74}
Expand \frac{9.6}{7.4} by multiplying both numerator and the denominator by 10.
y=\frac{48}{37}
Reduce the fraction \frac{96}{74} to lowest terms by extracting and canceling out 2.
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}