Solve 5y+6y-81=7y+102+65y

Question

Solve the equation

y = - 3

Evaluate

5 y + 6 y - 81 = 7 y + 102 + 65 y

Add the terms

More Steps

Evaluate

5 y + 6 y

Collect like terms by calculating the sum or difference of their coefficients

(5 + 6) y

Add the numbers

11 y

11 y - 81 = 7 y + 102 + 65 y

Add the terms

More Steps

Evaluate

7 y + 65 y

Collect like terms by calculating the sum or difference of their coefficients

(7 + 65) y

Add the numbers

72 y

11 y - 81 = 72 y + 102

Move the expression to the left side

11 y - 81 - 72 y = 102

Move the expression to the right side

11 y - 72 y = 102 + 81

Add and subtract

More Steps

Evaluate

11 y - 72 y

Collect like terms by calculating the sum or difference of their coefficients

(11 - 72) y

Subtract the numbers

- 61 y

- 61 y = 102 + 81

Add and subtract

- 61 y = 183

Change the signs on both sides of the equation

61 y = - 183

Divide both sides

\frac{61 y}{61} = \frac{- 183}{61}

Divide the numbers

y = \frac{- 183}{61}

Solution

More Steps

Evaluate

\frac{- 183}{61}

Reduce the numbers

\frac{- 3}{1}

Calculate

- 3

y = - 3

Show Solution

Rewrite the equation

Rewrite in standard form

Rewrite in slope-intercept form

y = - 3

Evaluate

5 y + 6 y - 81 = 7 y + 102 + 65 y

Evaluate

More Steps

Evaluate

5 y + 6 y - 81

Add the terms

More Steps

Evaluate

5 y + 6 y

Collect like terms by calculating the sum or difference of their coefficients

(5 + 6) y

Add the numbers

11 y

11 y - 81

11 y - 81 = 7 y + 102 + 65 y

Evaluate

More Steps

Evaluate

7 y + 102 + 65 y

Add the terms

More Steps

Evaluate

7 y + 65 y

Collect like terms by calculating the sum or difference of their coefficients

(7 + 65) y

Add the numbers

72 y

72 y + 102

11 y - 81 = 72 y + 102

Move the variable to the left side

- 61 y - 81 = 102

Move the constant to the right side

- 61 y = 183

Multiply both sides

61 y = - 183

Solution

y = - 3

Show Solution

Solve the equation

Rewrite the equation

Graph