Solve 6(4y-90)-15(y-5)=10(2y+3)

$$6 ( 4 y - 90 ) - 15 ( y - 5 ) = 10 ( 2 y + 3 )$$

Solve for y

$$y=-45$$

Steps for Solving Linear Equation

Use the distributive property to multiply 6 by 4y-90.

$$24y-540-15\left(y-5\right)=10\left(2y+3\right)$$

Use the distributive property to multiply -15 by y-5.

$$24y-540-15y+75=10\left(2y+3\right)$$

Combine 24y and -15y to get 9y.

$$9y-540+75=10\left(2y+3\right)$$

Add -540 and 75 to get -465.

$$9y-465=10\left(2y+3\right)$$

Use the distributive property to multiply 10 by 2y+3.

$$9y-465=20y+30$$

Subtract 20y from both sides.

$$9y-465-20y=30$$

Combine 9y and -20y to get -11y.

$$-11y-465=30$$

Add 465 to both sides.

$$-11y=30+465$$

Add 30 and 465 to get 495.

$$-11y=495$$

Divide both sides by -11.

$$y=\frac{495}{-11}$$

Divide 495 by -11 to get -45.

$$y=-45$$