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Gather all of the variable terms on one side of the equation and all of the constant terms on the other side.
2 215
To solve an equation, we should first gather all of the variable terms on one side and all of the constant terms on the other, using the Properties of Equality. In this case, we start by dividing both sides of the equation by 6.
.LHS /6.=.RHS /6.
Calculate quotient
a/b=a * 10/b * 10
a/b=.a /4./.b /4.
Rewrite 32 as 30 + 2
Write as a fraction
Calculate quotient
Rewrite 2 + 2/15 as 2 215
Notice that we didn't divide 32 by 15 because we would receive a repeating decimal. Now, to check that we have the correct solution, we can substitute y=2 215 into the original equation.
y= 2 215
a bc=a* c+b/c
a*b/c= a* b/c
a/b=.a /3./.b /3.
Multiply
Calculate quotient
Since the left-hand side is equal to the right-hand side, our solution is correct.