Solve 2(-5y+6)=34y-3[-4-5(-4-3y)]

$$2 ( - 5 y + 6 ) = 34 y - 3 [ - 4 - 5 ( - 4 - 3 y ) ]$$

Solve for y

$$y=-60$$

Steps for Solving Linear Equation

Use the distributive property to multiply 2 by -5y+6.

$$-10y+12=34y-3\left(-4-5\left(-4-3y\right)\right)$$

Use the distributive property to multiply -5 by -4-3y.

$$-10y+12=34y-3\left(-4+20+15y\right)$$

Add -4 and 20 to get 16.

$$-10y+12=34y-3\left(16+15y\right)$$

Use the distributive property to multiply -3 by 16+15y.

$$-10y+12=34y-48-45y$$

Combine 34y and -45y to get -11y.

$$-10y+12=-11y-48$$

Add 11y to both sides.

$$-10y+12+11y=-48$$

Combine -10y and 11y to get y.

$$y+12=-48$$

Subtract 12 from both sides.

$$y=-48-12$$

Subtract 12 from -48 to get -60.

$$y=-60$$