Answer:
y = 0.3
Step-by-step explanation:
Solve for y:
[tex] \longrightarrow [/tex] (3.2y - 1.8) - (5.2 y + 3.4) = -5.8
-(5.2y + 3.4) = -5.2y - 3.4:
[tex] \longrightarrow [/tex]3.2y - 1.8 -5.2y - 3.4 = -5.8
Grouping like terms, 3.2y - 1.8 - 5.2y - 3.4 = (3.2y - 5.2y) + (-1.8 - 3.4):
[tex] \longrightarrow [/tex] (3.2y - 5.2y) + (-1.8 - 3.4) = -5.8
3.2y - 5.2y = -2 y:
[tex] \longrightarrow [/tex] -2y + (-1.8 - 3.4) = -5.8
-1.8 - 3.4 = -5.2:
[tex] \longrightarrow [/tex] -5.2 - 2y = -5.8
Add 5.2` to both sides:
[tex] \longrightarrow [/tex] (5.2 - 5.2) - 2y = 5.2 - 5.8
5.2 - 5.2 = 0:
[tex] \longrightarrow [/tex] -2y = 5.2 - 5.8
5.2 - 5.8 = -0.6:
[tex] \longrightarrow [/tex] -2y = -0.6
Divide both sides of -2y = -0.6 by -2:
[tex] \longrightarrow [/tex] [tex] \sf \dfrac{-2}{-2}y = \dfrac{-0.6}{-2} [/tex]
[tex] \sf \dfrac{-2}{-2} = 1: [/tex]
[tex] \longrightarrow [/tex] [tex] \sf y = \dfrac{-0.6}{-2} [/tex]
[tex] \sf \dfrac{-0.6}{-2} = 0.3: [/tex]
[tex] \longrightarrow [/tex] y = 0.3
