Solve 5y+6y-18=7y+102+65y | 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

$$5y+6y-18=7y+102+65y$$

Solve for y

$y = -\frac{120}{61} = -1\frac{59}{61} \approx -1.967213115$

Steps for Solving Linear Equation

Combine $5y$ and $6y$ to get $11y$.

$$11y-18=7y+102+65y$$

Combine $7y$ and $65y$ to get $72y$.

$$11y-18=72y+102$$

Subtract $72y$ from both sides.

$$11y-18-72y=102$$

Combine $11y$ and $-72y$ to get $-61y$.

$$-61y-18=102$$

Add $18$ to both sides.

$$-61y=102+18$$

Add $102$ and $18$ to get $120$.

$$-61y=120$$

Divide both sides by $-61$.

$$y=\frac{120}{-61}$$

Fraction $\frac{120}{-61}$ can be rewritten as $-\frac{120}{61}$ by extracting the negative sign.

$$y=-\frac{120}{61}$$