Solve for y
y=3
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0=2\times 27+5\times 3^{2}-28\times 3-18+y
Calculate 3 to the power of 3 and get 27.
0=54+5\times 3^{2}-28\times 3-18+y
Multiply 2 and 27 to get 54.
0=54+5\times 9-28\times 3-18+y
Calculate 3 to the power of 2 and get 9.
0=54+45-28\times 3-18+y
Multiply 5 and 9 to get 45.
0=99-28\times 3-18+y
Add 54 and 45 to get 99.
0=99-84-18+y
Multiply 28 and 3 to get 84.
0=15-18+y
Subtract 84 from 99 to get 15.
0=-3+y
Subtract 18 from 15 to get -3.
-3+y=0
Swap sides so that all variable terms are on the left hand side.
y=3
Add 3 to both sides. Anything plus zero gives itself.
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
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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
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