Solve for y
y = -\frac{12}{5} = -2\frac{2}{5} = -2.4
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-3y-9=2y+3
Use the distributive property to multiply -3 by y+3.
-3y-9-2y=3
Subtract 2y from both sides.
-5y-9=3
Combine -3y and -2y to get -5y.
-5y=3+9
Add 9 to both sides.
-5y=12
Add 3 and 9 to get 12.
y=\frac{12}{-5}
Divide both sides by -5.
y=-\frac{12}{5}
Fraction \frac{12}{-5} can be rewritten as -\frac{12}{5} by extracting the negative sign.
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}