Solve for y
y = \frac{19}{5} = 3\frac{4}{5} = 3.8
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3\left(2y-4\right)=y+7
Variable y cannot be equal to -7 since division by zero is not defined. Multiply both sides of the equation by 3\left(y+7\right), the least common multiple of y+7,3.
6y-12=y+7
Use the distributive property to multiply 3 by 2y-4.
6y-12-y=7
Subtract y from both sides.
5y-12=7
Combine 6y and -y to get 5y.
5y=7+12
Add 12 to both sides.
5y=19
Add 7 and 12 to get 19.
y=\frac{19}{5}
Divide both sides by 5.
Examples
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{ 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}