Question

solve the following equation in your notebook, use your notes from the previous problem to help you
6y + 4 - 3y = -5 + y + 17
y = ___ (only type the number)

Explanation:

Step1: Combine like terms on left

Combine \(6y - 3y\) and constants \(4\) on the left side of the equation \(6y + 4 - 3y=-5 + y + 17\). So we get \((6y - 3y)+4 = 3y + 4\) and the equation becomes \(3y + 4=-5 + y + 17\).

Step2: Combine like terms on right

Combine the constants \(-5\) and \(17\) on the right side. \(-5 + 17 = 12\), so the equation is \(3y + 4=y + 12\).

Step3: Subtract \(y\) from both sides

Subtract \(y\) from each side to get \(3y - y+ 4=y - y+ 12\), which simplifies to \(2y + 4 = 12\).

Step4: Subtract 4 from both sides

Subtract \(4\) from both sides: \(2y + 4-4 = 12 - 4\), so \(2y=8\).

Step5: Divide by 2

Divide both sides by \(2\): \(\frac{2y}{2}=\frac{8}{2}\), which gives \(y = 4\).

Answer:

4