Question

solve the following equation 3y+4/2-6y=-2/5
Answer is y=-8
but tell the equation how to solve it ​

Answer 1

Solution!!

$\sf \dfrac{3y+4}{2-6y}=-\dfrac{2}{5}$

Simplify the equation by cross multiplication.

$\sf 5(3y+4)=-2(2-6y)$

Distribute 5 through the parentheses.

$\sf 15y+20=-2(2-6y)$

Distribute -2 through the parentheses.

$\sf 15y+20=-4+12y$

Move the variable to the left-hand side and change its sign.

$\sf 15y+20-12y=-4$

Move the constant to the right-hand side and change its sign.

$\sf 15y-12y=-4-20$

Group the like terms.

$\sf 3y=-4-20$

Calculate the difference.

$\sf 3y=-24$

Divide both the sides of the equation by 3.

$\sf \bold y=-8$

Hence, the value of y is -8.