Solve for y y+2(3y-1)=9 - Math App

Math

$y + 2 (3 y - 1) = 9$

Simplify $y + 2 (3 y - 1)$ .

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Simplify each term.

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Apply the distributive property.

$y + 2 (3 y) + 2 \cdot - 1 = 9$

Multiply $3$ by $2$ .

$y + 6 y + 2 \cdot - 1 = 9$

Multiply $2$ by $- 1$ .

$y + 6 y - 2 = 9$

$y + 6 y - 2 = 9$

Add $y$ and $6 y$ .

$7 y - 2 = 9$

$7 y - 2 = 9$

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

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Add $2$ to both sides of the equation.

$7 y = 9 + 2$

Add $9$ and $2$ .

$7 y = 11$

$7 y = 11$

Divide each term by $7$ and simplify.

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Divide each term in $7 y = 11$ by $7$ .

$\frac{7 y}{7} = \frac{11}{7}$

Cancel the common factor of $7$ .

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Cancel the common factor.

$\frac{7 y}{7} = \frac{11}{7}$

Divide $y$ by $1$ .

$y = \frac{11}{7}$

$y = \frac{11}{7}$

$y = \frac{11}{7}$

The result can be shown in multiple forms.

Exact Form:

$y = \frac{11}{7}$

Decimal Form:

$y = 1.\overline{571428}$

Mixed Number Form:

$y = 1 \frac{4}{7}$

Solve for y y+2(3y-1)=9

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