Question

Solve for y. 4y+5/3 = y-8/2 y = -4 y = -5 y = -8

Answer 1

y = -34/5

Explanation:

`(4y+5)/(3)=(y-8)/(2)\qquad\text{multiply both sides by }\ 2\cdot3=6\\\\6\!\!\!\!\diagup^2\cdot(4y+5)/(\\ot3_1)=6\!\!\!\!\diagup^3\cdot(y-8)/(\\ot2_1)\\\\2(4y+5)=3(y-8)\qquad\text{use distributive property}\\\\(2)(4y)+(2)(5)=(3)(y)+(3)(-8)\\\\8y+10=3y-24\qquad\text{subtract 10 from both sides}\\\\8y=3y-34\qquad\text{subtract 3y from both sides}\\\\5y=-34\qquad\text{divide both sides by 5}\\\\\boxed{y=-(34)/(5)}`