To determine the value of [tex]\( y \)[/tex] that satisfies the given equation [tex]\( 14.25y = 99.75 \)[/tex], follow these steps:
1. Identify the equation:
[tex]\[ 14.25y = 99.75 \][/tex]
2. Isolate the variable [tex]\( y \)[/tex]: To solve for [tex]\( y \)[/tex], you need to isolate [tex]\( y \)[/tex] on one side of the equation. To do this, divide both sides of the equation by the coefficient of [tex]\( y \)[/tex], which is [tex]\( 14.25 \)[/tex].
So, divide both sides by [tex]\( 14.25 \)[/tex]:
[tex]\[ y = \frac{99.75}{14.25} \][/tex]
3. Simplify the expression:
[tex]\[ y = \frac{99.75}{14.25} \][/tex]
4. Calculate the result:
By performing the division, you would determine that:
[tex]\[ y = 7.00 \][/tex]
Therefore, the value of [tex]\( y \)[/tex] that satisfies the equation [tex]\( 14.25y = 99.75 \)[/tex] is [tex]\( \boxed{7.00} \)[/tex].
