Answer:
[tex]y=3.5[/tex]
Step-by-step explanation:
[tex]2.5y+6=4.5y-1[/tex]
Start by subtracting [tex]6[/tex] from both sides of the equation:
[tex]2.5y=4.5y-7[/tex]
Subtract [tex]4.5y[/tex] from both sides of the equation:
[tex]-2y=-7[/tex]
Divide both sides of the equation by the coefficient of [tex]y[/tex], which is [tex]-2[/tex]:
[tex]y=3.5[/tex]
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Check your solution by substituting the solved value of [tex]y[/tex] ([tex]3.5[/tex]) into the initial equation:
[tex]2.5(3.5)+6=4.5(3.5)-1[/tex]
[tex]8.75+6=15.75-1[/tex]
[tex]14.75=14.75[/tex]
Since both sides of the equation are equal to each other, our solution is correct!
