Solve for y
y = -\frac{21}{5} = -4\frac{1}{5} = -4.2
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2\left(-5-3y\right)=11-y
Multiply both sides of the equation by 4, the least common multiple of 2,4.
-10-6y=11-y
Use the distributive property to multiply 2 by -5-3y.
-10-6y+y=11
Add y to both sides.
-10-5y=11
Combine -6y and y to get -5y.
-5y=11+10
Add 10 to both sides.
-5y=21
Add 11 and 10 to get 21.
y=\frac{21}{-5}
Divide both sides by -5.
y=-\frac{21}{5}
Fraction \frac{21}{-5} can be rewritten as -\frac{21}{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}