Solve for y
y=-\frac{4}{5}=-0.8
Graph
Share
Copied to clipboard
3\left(7y+4\right)=\left(y+2\right)\left(-4\right)
Variable y cannot be equal to -2 since division by zero is not defined. Multiply both sides of the equation by 3\left(y+2\right), the least common multiple of y+2,3.
21y+12=\left(y+2\right)\left(-4\right)
Use the distributive property to multiply 3 by 7y+4.
21y+12=-4y-8
Use the distributive property to multiply y+2 by -4.
21y+12+4y=-8
Add 4y to both sides.
25y+12=-8
Combine 21y and 4y to get 25y.
25y=-8-12
Subtract 12 from both sides.
25y=-20
Subtract 12 from -8 to get -20.
y=\frac{-20}{25}
Divide both sides by 25.
y=-\frac{4}{5}
Reduce the fraction \frac{-20}{25} to lowest terms by extracting and canceling out 5.
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}