Solve for y (complex solution)
y\in \mathrm{C}
Solve for y
y\in \mathrm{R}
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8y-8-4=4\left(2y-3\right)
Use the distributive property to multiply 8 by y-1.
8y-12=4\left(2y-3\right)
Subtract 4 from -8 to get -12.
8y-12=8y-12
Use the distributive property to multiply 4 by 2y-3.
8y-12-8y=-12
Subtract 8y from both sides.
-12=-12
Combine 8y and -8y to get 0.
\text{true}
Compare -12 and -12.
y\in \mathrm{C}
This is true for any y.
8y-8-4=4\left(2y-3\right)
Use the distributive property to multiply 8 by y-1.
8y-12=4\left(2y-3\right)
Subtract 4 from -8 to get -12.
8y-12=8y-12
Use the distributive property to multiply 4 by 2y-3.
8y-12-8y=-12
Subtract 8y from both sides.
-12=-12
Combine 8y and -8y to get 0.
\text{true}
Compare -12 and -12.
y\in \mathrm{R}
This is true for any y.
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}