Solve for a
a=-y
Solve for y
y=-a
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2a+3y-5a=6y
Subtract 5a from both sides.
-3a+3y=6y
Combine 2a and -5a to get -3a.
-3a=6y-3y
Subtract 3y from both sides.
-3a=3y
Combine 6y and -3y to get 3y.
\frac{-3a}{-3}=\frac{3y}{-3}
Divide both sides by -3.
a=\frac{3y}{-3}
Dividing by -3 undoes the multiplication by -3.
a=-y
Divide 3y by -3.
2a+3y-6y=5a
Subtract 6y from both sides.
2a-3y=5a
Combine 3y and -6y to get -3y.
-3y=5a-2a
Subtract 2a from both sides.
-3y=3a
Combine 5a and -2a to get 3a.
\frac{-3y}{-3}=\frac{3a}{-3}
Divide both sides by -3.
y=\frac{3a}{-3}
Dividing by -3 undoes the multiplication by -3.
y=-a
Divide 3a by -3.
Examples
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{ 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}