Solve for y
y=5
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3\left(3-y\right)-2y=-16
Multiply both sides of the equation by 2.
9-3y-2y=-16
Use the distributive property to multiply 3 by 3-y.
9-5y=-16
Combine -3y and -2y to get -5y.
-5y=-16-9
Subtract 9 from both sides.
-5y=-25
Subtract 9 from -16 to get -25.
y=\frac{-25}{-5}
Divide both sides by -5.
y=5
Divide -25 by -5 to get 5.
Examples
Quadratic equation
{ x } ^ { 2 } - 4 x - 5 = 0
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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}