Respuesta :

Answer:y=4

Step-by-step explanation: Simplifying

1.5y + -6 = 0

Reorder the terms:

-6 + 1.5y = 0

Solving

-6 + 1.5y = 0

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '6' to each side of the equation.

-6 + 6 + 1.5y = 0 + 6

Combine like terms: -6 + 6 = 0

0 + 1.5y = 0 + 6

1.5y = 0 + 6

Combine like terms: 0 + 6 = 6

1.5y = 6

Divide each side by '1.5'.

y = 4

Simplifying

y = 4

The equivalent equation, if 6 is factored out from the expression is 6(0.25y - 1)

Given a linear equation y = mx + b where b is the constant.

Given the linear equation f(y) = 1.5y - 6, we can see that 6 is the constant in the expression.

Factoring out 6 from the expression

[tex]f(y) = 1.5y-1.6\\f(y)=6(\frac{1.5y}{6}-\frac{6}{6} )\\f(y)=6(\frac{0.25y}{1} -1)\\f(y) = 6(0.25y-1)[/tex]

Hence the equivalent equation, if 6 is factored out from the expression is 6(0.25y - 1)

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