Solve each equation for y.

3y + 6 = 12x

 check step by step

Step-by-step explanation:

Simplifying

3y + -6 = 12x

Reorder the terms:

-6 + 3y = 12x

Solving

-6 + 3y = 12x

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 + 3y = 6 + 12x

Combine like terms: -6 + 6 = 0

0 + 3y = 6 + 12x

3y = 6 + 12x

Divide each side by '3'.

y = 2 + 4x

Simplifying

y = 2 + 4x

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step-by-step explanation:

find the magnitude of the trig term  

csc

(

x

)

−

1

by taking the absolute value of the coefficient.

1

find the lower bound of the range.

tap for more

y

=

−

2

find the upper bound of the range.

tap for more

y

=

0

the range is  

y

≤

−

2

or  

y

≥

0

.

(

−

∞

,

−

2

]

∪

[

0

,

∞

)

{

y

|

y

≤

−

2

,

y

≥

0

}

step-by-step explanation: