Question

solve for y.
4y + 10 = -10 + 6y
y = \boxed{}

Explanation:

Step1: Subtract \(4y\) from both sides

To isolate the terms with \(y\), we subtract \(4y\) from each side of the equation \(4y + 10=-10 + 6y\). This gives \(4y + 10-4y=-10 + 6y-4y\), which simplifies to \(10=-10 + 2y\).

Step2: Add 10 to both sides

Next, we add 10 to both sides to get the constant terms on one side. So, \(10 + 10=-10 + 2y+ 10\), which simplifies to \(20 = 2y\).

Step3: Divide by 2

Finally, we divide both sides by 2 to solve for \(y\). \(\frac{20}{2}=\frac{2y}{2}\), which gives \(y = 10\).

Answer:

\(10\)