Show a step by step solution with explanation for the following questions. variables on both sides of a complex equation.

5y-11-y=y-2

3x+2-x-4=-3x+8

-5(2x-3)=2x +3

10a-a+36-a=2a + 3a -24 -9a

20b-80-4=7b-12+5b

7b+6-3b-b=6(-3b+8)

5y-11-y=y-2

collect the like terms

5y-y-y=11-2

3y=9

dividing both sides by 3

y=3

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions