Solve 3(6+5y/2)+y=4

$$3 ( \frac { 6 + 5 y } { 2 } ) + y = 4$$

Solve for y

$$y=-\frac{10}{17}\approx -0.588235294$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 2.

$$3\left(6+5y\right)+2y=8$$

Use the distributive property to multiply 3 by 6+5y.

$$18+15y+2y=8$$

Combine 15y and 2y to get 17y.

$$18+17y=8$$

Subtract 18 from both sides.

$$17y=8-18$$

Subtract 18 from 8 to get -10.

$$17y=-10$$

Divide both sides by 17.

$$y=\frac{-10}{17}$$

Fraction \frac{-10}{17} can be rewritten as -\frac{10}{17} by extracting the negative sign.

$$y=-\frac{10}{17}$$