QuestionJuly 14, 2025

Solve for y. Assume the equation has a solution for y. py+qy=-4y+8 y= square

Solve for y. Assume the equation has a solution for y. py+qy=-4y+8 y= square
Solve for y.
Assume the equation has a solution for y.
py+qy=-4y+8
y=
square

Solution
4.5(204 votes)

Answer

y = \frac{8}{p+q+4} Explanation 1. Combine like terms Combine py and qy to get (p+q)y. 2. Move all terms involving y to one side Add 4y to both sides: (p+q)y + 4y = 8. 3. Factor out y Factor y from the left side: y(p+q+4) = 8. 4. Solve for y Divide both sides by (p+q+4): y = \frac{8}{p+q+4}.

Explanation

1. Combine like terms<br /> Combine $py$ and $qy$ to get $(p+q)y$.<br />2. Move all terms involving y to one side<br /> Add $4y$ to both sides: $(p+q)y + 4y = 8$.<br />3. Factor out y<br /> Factor $y$ from the left side: $y(p+q+4) = 8$.<br />4. Solve for y<br /> Divide both sides by $(p+q+4)$: $y = \frac{8}{p+q+4}$.
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