Solve -3(-3+2y/5)+7y=-2

$$- 3 ( \frac { - 3 + 2 y } { 5 } ) + 7 y = - 2$$

Solve for y

$$y=-\frac{19}{29}\approx -0.655172414$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 5.

$$-3\left(-3+2y\right)+35y=-10$$

Use the distributive property to multiply -3 by -3+2y.

$$9-6y+35y=-10$$

Combine -6y and 35y to get 29y.

$$9+29y=-10$$

Subtract 9 from both sides.

$$29y=-10-9$$

Subtract 9 from -10 to get -19.

$$29y=-19$$

Divide both sides by 29.

$$y=\frac{-19}{29}$$

Fraction \frac{-19}{29} can be rewritten as -\frac{19}{29} by extracting the negative sign.

$$y=-\frac{19}{29}$$