Solve for y
y = \frac{3}{2} = 1\frac{1}{2} = 1.5
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7y-3-9+12y-15=y
Combine y and 6y to get 7y.
7y-12+12y-15=y
Subtract 9 from -3 to get -12.
19y-12-15=y
Combine 7y and 12y to get 19y.
19y-27=y
Subtract 15 from -12 to get -27.
19y-27-y=0
Subtract y from both sides.
18y-27=0
Combine 19y and -y to get 18y.
18y=27
Add 27 to both sides. Anything plus zero gives itself.
y=\frac{27}{18}
Divide both sides by 18.
y=\frac{3}{2}
Reduce the fraction \frac{27}{18} to lowest terms by extracting and canceling out 9.
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}