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Solve for y (6y-8)-(5y+9)=3

$(6 y - 8) - (5 y + 9) = 3$

Step 1

Simplify $6 y - 8 - (5 y + 9)$ .

Simplify each term.

Apply the distributive property.

$6 y - 8 - (5 y) - 1 \cdot 9 = 3$

Multiply $5$ by $- 1$ .

$6 y - 8 - 5 y - 1 \cdot 9 = 3$

Multiply $- 1$ by $9$ .

$6 y - 8 - 5 y - 9 = 3$

$6 y - 8 - 5 y - 9 = 3$

Simplify by adding terms.

Subtract $5 y$ from $6 y$ .

$y - 8 - 9 = 3$

Subtract $9$ from $- 8$ .

$y - 17 = 3$

$y - 17 = 3$

$y - 17 = 3$

Step 2

Move all terms not containing $y$ to the right side of the equation.

Add $17$ to both sides of the equation.

$y = 3 + 17$

Add $3$ and $17$ .

$y = 20$

$y = 20$

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