2. Solve: 5y-12=3y-6.
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Given: 5y-12=3y-6
To find Solve for the value of y.
Solution: The given form of the equation is a linear equation where we are told to find the value of the single variable and here it is 'y'. The objective of finding the value of this unknown variable is that it equalizes both sides of the linear equation, thus making the whole equation balanced.
Now from above,
5y-12=3y-6
⇒5y-3y=12-6 [rearranging the sides of the terms by changing their signs]
⇒2y=6 [subtracting the constants representing by the same variable]
⇒y=6/2
⇒y=3
Hence the value of 'y' is 3.
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