Answer:
y=8
Step-by-step explanation:
see the attached figure to better understand the problem
we have that
FH=FG+GH
FG=GH
step 1
Find the value of x
FG=GH
substitute the given values
4x+3=7x-12
solve for x
[tex]7x-4x=12+3\\3x=15\\x=5[/tex]
step 2
Find the value of y
FH=FG+GH
substitute the values
[tex]6y-2=(4x+3)+(7x-12)6y-2=(4(5)+3)+(7(5)-12)6y-2=23+23\\6y-2=46\\6y=46+2\\6y=48\\y=8[/tex]