Solve 5(2y-3)=3(7y-6)+19(y+1)+14

$$5 ( 2 y - 3 ) = 3 ( 7 y - 6 ) + 19 ( y + 1 ) + 14$$

Solve for y

$$y=-1$$

Steps for Solving Linear Equation

Use the distributive property to multiply 5 by 2y-3.

$$10y-15=3\left(7y-6\right)+19\left(y+1\right)+14$$

Use the distributive property to multiply 3 by 7y-6.

$$10y-15=21y-18+19\left(y+1\right)+14$$

Use the distributive property to multiply 19 by y+1.

$$10y-15=21y-18+19y+19+14$$

Combine 21y and 19y to get 40y.

$$10y-15=40y-18+19+14$$

Add -18 and 19 to get 1.

$$10y-15=40y+1+14$$

Add 1 and 14 to get 15.

$$10y-15=40y+15$$

Subtract 40y from both sides.

$$10y-15-40y=15$$

Combine 10y and -40y to get -30y.

$$-30y-15=15$$

Add 15 to both sides.

$$-30y=15+15$$

Add 15 and 15 to get 30.

$$-30y=30$$

Divide both sides by -30.

$$y=\frac{30}{-30}$$

Divide 30 by -30 to get -1.

$$y=-1$$