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#
Question:

Solve for y:

6(y+3) = 48

A
y = 5

Explaination

We will first eliminate the parenthesis from the equation by using the distributive law. We will then isolate the variable on the left-hand side by carrying out the necessary mathematical operations on both sides of the equation. Finally, we will simplify the numbers to solve the equation for y.

Step 1:

Eliminate the parenthesis

We will apply the distributive law by multiplying both the terms in parenthesis by 6. This will eliminate the parenthesis from the equation.

6 × y + 6 × 3 = 48

Or, 6y + 18 = 48

Step 2:

Isolate the variable

We will first subtract 18 from both sides of the equation and carry out the subtraction.

6y + 18 – 18 = 48 – 18

Or, 6y = 30

We will then divide both sides of the equation by 6 to isolate y on the left-hand side, before simplifying the numbers to solve the equation.

(6y)/6 = 30/6

Or, y = 5

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