Solve -5y+2(2y+1)=2(5y-1)-7

$$-5y+2(2y+1)=2(5y-1)-7$$

Solve for y

$$y=1$$

Steps for Solving Linear Equation

Use the distributive property to multiply 2 by 2y+1.

$$-5y+4y+2=2\left(5y-1\right)-7$$

Combine -5y and 4y to get -y.

$$-y+2=2\left(5y-1\right)-7$$

Use the distributive property to multiply 2 by 5y-1.

$$-y+2=10y-2-7$$

Subtract 7 from -2 to get -9.

$$-y+2=10y-9$$

Subtract 10y from both sides.

$$-y+2-10y=-9$$

Combine -y and -10y to get -11y.

$$-11y+2=-9$$

Subtract 2 from both sides.

$$-11y=-9-2$$

Subtract 2 from -9 to get -11.

$$-11y=-11$$

Divide both sides by -11.

$$y=\frac{-11}{-11}$$

Divide -11 by -11 to get 1.

$$y=1$$