Hey there!
Let's solve your equation step-by-step.
[tex]\fbox{9−7y(7)=6+5−3y−416}[/tex]
Step 1: Simplify both sides of the equation.
[tex]\fbox{9−7y(7)=6+5−3y−416}[/tex]
[tex]\fbox{9+−49y=6+5+−3y+−416}[/tex]
[tex]\fbox{−49y+9=(−3y)+(6+5+−416)}[/tex](Combine Like Terms)
[tex]\fbox{−49y+9=−3y+−405}[/tex]
[tex]\fbox{−49y+9=−3y−405}[/tex]
Step 2: Add 3y to both sides.
[tex]\fbox{−49y+9+3y=−3y−405+3y}[/tex]
[tex]\fbox{−46y+9=−405}[/tex]
Step 3: Subtract 9 from both sides.
[tex]\fbox{−46y+9−9=−405−9}[/tex]
[tex]\fbox{−46y=−414}[/tex]
Step 4: Divide both sides by -46.
[tex]\fbox{−46y/−46 = −414/−46}[/tex]
[tex]\fbox{y=9}[/tex]
Answer:
[tex]\fbox{y=\fbox{9}}[/tex]