To solve for y in the equation -2x + 6y = -36, we can use the following steps:
Step 1: Isolate y on one side of the equation by adding 2x to both sides. We get
6y=2x−36
Step 2: Divide both sides by 6 to get y by itself. We get
y=62x−636
Step 3: Simplify the fractions by dividing the numerator and denominator by the greatest common factor. We get
y=3x−6
This is the final answer for the question. The value of y depends on the value of x. For example, if x = 0, then y = -6. If x = 3, then y = -5.