Solve 2+(5)/(3)=(26)/(3)-y | 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

$$2+ \frac{ 5 }{ 3 } = \frac{ 26 }{ 3 } -y$$

Solve for y

$y=5$

Steps for Solving Linear Equation

Convert $2$ to fraction $\frac{6}{3}$.

$$\frac{6}{3}+\frac{5}{3}=\frac{26}{3}-y$$

Since $\frac{6}{3}$ and $\frac{5}{3}$ have the same denominator, add them by adding their numerators.

$$\frac{6+5}{3}=\frac{26}{3}-y$$

Add $6$ and $5$ to get $11$.

$$\frac{11}{3}=\frac{26}{3}-y$$

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

$$\frac{26}{3}-y=\frac{11}{3}$$

Subtract $\frac{26}{3}$ from both sides.

$$-y=\frac{11}{3}-\frac{26}{3}$$

Since $\frac{11}{3}$ and $\frac{26}{3}$ have the same denominator, subtract them by subtracting their numerators.

$$-y=\frac{11-26}{3}$$

Subtract $26$ from $11$ to get $-15$.

$$-y=\frac{-15}{3}$$

Divide $-15$ by $3$ to get $-5$.

$$-y=-5$$

Multiply both sides by $-1$.

$$y=5$$