y-5=3(x-(-2))

Solution for y-5=3(x-(-2)) equation:

Simplifying
y + -5 = 3(x + -1(-2))

Reorder the terms:
-5 + y = 3(x + -1(-2))

Multiply -1 * -2
-5 + y = 3(x + 2)

Reorder the terms:
-5 + y = 3(2 + x)
-5 + y = (2 * 3 + x * 3)
-5 + y = (6 + 3x)

Solving
-5 + y = 6 + 3x

Solving for variable 'y'.

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

Add '5' to each side of the equation.
-5 + 5 + y = 6 + 5 + 3x

Combine like terms: -5 + 5 = 0
0 + y = 6 + 5 + 3x
y = 6 + 5 + 3x

Combine like terms: 6 + 5 = 11
y = 11 + 3x

Simplifying
y = 11 + 3x