Solve for y
y=-1
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-4\left(4y+7\right)=3\left(y-3\right)
Variable y cannot be equal to 3 since division by zero is not defined. Multiply both sides of the equation by 12\left(y-3\right), the least common multiple of 9-3y,4.
-16y-28=3\left(y-3\right)
Use the distributive property to multiply -4 by 4y+7.
-16y-28=3y-9
Use the distributive property to multiply 3 by y-3.
-16y-28-3y=-9
Subtract 3y from both sides.
-19y-28=-9
Combine -16y and -3y to get -19y.
-19y=-9+28
Add 28 to both sides.
-19y=19
Add -9 and 28 to get 19.
y=\frac{19}{-19}
Divide both sides by -19.
y=-1
Divide 19 by -19 to get -1.
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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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}