Solve 2 (5y - 5)/y - (5y + 15)/y = 1 | Equatix - Math Solver

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Example

3(r+2s)=2t-4

a⋅(b-2)=3b

3(r+2s)=2t-4

a⋅(b-2)=3b

Question

$$\frac { 5 y - 5 } { y } - \frac { 5 y + 5 } { y } = - 1$$

Solve for y

$y=10$

Steps for Solving Linear Equation

Variable $y$ cannot be equal to $0$ since division by zero is not defined. Multiply both sides of the equation by $y$.

$$5y-5-\left(5y+5\right)=-y$$

To find the opposite of $5y+5$, find the opposite of each term.

$$5y-5-5y-5=-y$$

Combine $5y$ and $-5y$ to get $0$.

$$-5-5=-y$$

Subtract $5$ from $-5$ to get $-10$.

$$-10=-y$$

Swap sides so that all variable terms are on the left hand side.

$$-y=-10$$

Multiply both sides by $-1$.

$$y=10$$