Question

For the given expression, identify the terms, like terms, coefficients, and constant terms. Then simplify the expression.

$y+7y-9-3y$

Short answer

Terms in given expression are $y,7y,-9,-3y$.

Like terms in given expression are $y,7y,-3y$.

Coefficients in given expression are $1,7,-3$.

Constants in given expression are $-9$.

Value of given expression is $5y-9$.

Step-by-step solution

Step-1- Terms and like terms

$y+7y-9-3y$

Parts of an expression that are added together are called terms.

Therefore, the terms in given expression are $y,7y,-9,-3y$.

The term which has the same variable part are called like terms.

Therefore, the like terms in given expression are $y,7y,-3y$.

Step-2-Coefficients and constant terms

Number part of a term with a variable is called the coefficient.

Therefore, the coefficients in given expression are $1,7,-3$.

Term independent of any variable are called constants.

Therefore, the constants in given expression are $-9$.

Step-3-Solving given expression

$y+7y-9-3y$

On simplifying, we get,

$\begin{array}{l}y+7y-9-3y=y+7y-3y-9\\ y+7y-9-3y=5y-9\end{array}$

Therefore, the value of given expression is $5y-9$.