[tex][Hello,BrainlyUser][/tex]
Answer:
y = -8
Step-by-step explanation:
Create equivalent expressions in the equation that all have equal bases.
[tex]2^3^y=2^4^(^y^+^2^)[/tex]
Since the bases are the same, then two expressions are only equal if the exponents are also equal.
[tex]3y=4(y+2)[/tex]
Simplify
[tex]4(y+2).[/tex]
Apply the distributive property.
[tex]3y=4y+4*2[/tex]
Multiply 4 by 2
[tex]3y=4y+8[/tex]
Subtract 4y from both sides of the equation.
[tex]3y-4y=8[/tex]
Subtract 4y from 3y.
[tex]-y=8[/tex]
Multiply each term in −y=8 by −1
[tex]y=-8[/tex]
Hence, Answer is y = -8
[CloudBreeze]
