Answer:
y = [tex]\frac{b}{a}[/tex] - 1
Step-by-step explanation:
Given
a(y + 1) = b ( divide both sides by a )
y + 1 = [tex]\frac{b}{a}[/tex] ( subtract 1 from both sides )
y = [tex]\frac{b}{a}[/tex] - 1
or alternatively
distribute the left side
ay + a = b ( subtract a from both sides )
ay = b - a ( divide both sides by a )
y = [tex]\frac{b-a}{a}[/tex]
Note y = [tex]\frac{b}{a}[/tex] - 1 = [tex]\frac{b-a}{a}[/tex]
Step-by-step explanation:
[tex]a( y+ 1) = b \\ \\ \therefore \: y + 1 = \frac{b}{a} \\ \\ \therefore \: y = \frac{b}{a} - 1 \\ \\ \huge \purple{ \boxed{\therefore \: y = \frac{b - a}{a} }}[/tex]
