Solve for y
y=2
Graph
Share
Copied to clipboard
4\left(-\frac{5}{4}+\frac{5}{4}y\right)+2y=9
Fraction \frac{-5}{4} can be rewritten as -\frac{5}{4} by extracting the negative sign.
4\left(-\frac{5}{4}\right)+4\times \frac{5}{4}y+2y=9
Use the distributive property to multiply 4 by -\frac{5}{4}+\frac{5}{4}y.
-5+4\times \frac{5}{4}y+2y=9
Cancel out 4 and 4.
-5+5y+2y=9
Cancel out 4 and 4.
-5+7y=9
Combine 5y and 2y to get 7y.
7y=9+5
Add 5 to both sides.
7y=14
Add 9 and 5 to get 14.
y=\frac{14}{7}
Divide both sides by 7.
y=2
Divide 14 by 7 to get 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}