The equation is .
Distribute terms using distributive property: a (b +c) = ab + ac.
\ (Multiply:
)
Apply subtraction property of equality: Subtract 2y from each side.
\Apply commutative property of addition: .
(Apply Additive inverse property:
)
(Apply Additive identity property:
)
(Subtract:
)
Apply subtraction property of equality: Subtract 4 from each side.
\ (Apply Additive inverse property:
)
(Apply Additive identity property:
)
(Subtract:
.)
Apply division property of equality: Divide each side by 3.
\ (Cancel common terms)
(Divide:
)
Check:
\To check the solution, substitute in original equation.
(Subtract:
)
(Multiply:
)
(Add:
)
Compare the values, the equation is true.
The solution is .