Question

Solve -30+15y/2+2y=-11

Answer 1

`\large\boxed{y=(8)/(37)}`

Explanation:

`Domain:\ 2+2y\\eq0\to y\\eq-1\\\\(-30+15y)/(2+2y)=-11\\\\(-30+15y)/(2+2y)=(-11)/(1)\qquad\text{cross multiply}\\\\(-30+15y)(1)=(-11)(2+2y)\qquad\text{use the distributive property}\\\\-30+15y=(-11)(2)+(-11)(2y)\\\\-30+15y=-22-22y\qquad\text{add 30 to both sides}\\\\15y=8-22y\qquad\text{add}\ 22y\ \text{to both sides}\\\\37y=8\qquad\text{divide both sides by 37}\\\\y=(8)/(37)`