Find Value 3 Cells Away From Lookup Array

I have 40 or so case studies on one worksheet. Each case has four columns- the first is the year, and the next three are values for that year. Each study is 140 years long, but they don't all start in the same year. What I want to do is pluck all the values from the fourth column of each study, and total them up for each year.

Here's how the sheet is set up- row 6 is a header row with four repeating column heads- year, value1, value2, value3. So year is in col A, E, I, M, Q, etc. up to FM. Value3, the one that I want totaled is in col D, H, L, P, etc up to FP. Each year column begins with a different year, (with some repeats) but each is 141 rows long, so that the first study begins in 1994 and ends in 2134, the second is from 1985-2125, the third is from 1991-2131, etc. I want excel to find all the value3's from 2007 and total them, all the value3's from 2008 and total those, up through 2145. The data range is A7:FP147. I tried adjusting some of the suggestions, but no luck. I was thinking I'd have column FQ with all the years 2007 on, and FR by the total of all the value3's from that year.