Set up the equation for the following word problem and solve the equation. Let y be the unknown number.−85−85times a number minus4949is equal to5858less than the number.Step 2 of 2 : Solve the equation for y. Express your answer as an integer, a reduced fraction, or a decimal number rounded to two places.
Question
Set up the equation for the following word problem and solve the equation. Let y be the unknown number.−85−85times a number minus4949is equal to5858less than the number.Step 2 of 2 : Solve the equation for y. Express your answer as an integer, a reduced fraction, or a decimal number rounded to two places.
Solution
The problem can be translated into the following equation: -85y - 49 = y - 58.
To solve for y, we first combine like terms:
-85y - y = -58 + 49 -86y = -9
Then, we divide each side by -86 to solve for y:
y = -9 / -86 y = 9/86
So, the solution to the equation is y = 9/86.
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