Solve for y
y\geq -3
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2y-6-\left(3y+4\right)\leq -7
Use the distributive property to multiply 2 by y-3.
2y-6-3y-4\leq -7
To find the opposite of 3y+4, find the opposite of each term.
-y-6-4\leq -7
Combine 2y and -3y to get -y.
-y-10\leq -7
Subtract 4 from -6 to get -10.
-y\leq -7+10
Add 10 to both sides.
-y\leq 3
Add -7 and 10 to get 3.
y\geq -3
Divide both sides by -1. Since -1 is negative, the inequality direction is changed.
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}