Solve for y
y = \frac{5}{4} = 1\frac{1}{4} = 1.25
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4\left(5-3y\right)-12y=-10
Multiply both sides of the equation by 2.
20-12y-12y=-10
Use the distributive property to multiply 4 by 5-3y.
20-24y=-10
Combine -12y and -12y to get -24y.
-24y=-10-20
Subtract 20 from both sides.
-24y=-30
Subtract 20 from -10 to get -30.
y=\frac{-30}{-24}
Divide both sides by -24.
y=\frac{5}{4}
Reduce the fraction \frac{-30}{-24} to lowest terms by extracting and canceling out -6.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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4 \sin \theta \cos \theta = 2 \sin \theta
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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}