Simplify each mathematical expression 2(7y − 3) + (5y + 2) − (9y − 4)

 10y

Step-by-step explanation:

2(7y-3) +(5y+2) -(9y-4)  Apply the distributive property.

14y - 6 + 5y + 2 - 9y + 4   Combine like terms  

(14y+5y-9y) + (-6+2+4)

10y  

37/3

step-by-step explanation:

step 1: simplify both sides of the equation.

7x+8(x+

1

4

)=3(6x−9)−8

7x+(8)(x)+(8)(

1

4

)=(3)(6x)+(3)(−9)+−8(distribute)

7x+8x+2=18x+−27+−8

(7x+8x)+(2)=(18x)+(−27+−8)(combine like terms)

15x+2=18x+−35

15x+2=18x−35

tep 2: subtract 18x from both sides.

15x+2−18x=18x−35−18x

−3x+2=−35

step 3: subtract 2 from both sides.

−3x+2−2=−35−2

−3x=−37

step 4: divide both sides by -3.

−3x

−3

=

−37

−3

x=

37

3