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

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

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

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

Reorder the terms:
-6 + 3y = -2(5 + x)
-6 + 3y = (5 * -2 + x * -2)
-6 + 3y = (-10 + -2x)

Solving
-6 + 3y = -10 + -2x

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 = -10 + 6 + -2x

Combine like terms: -6 + 6 = 0
0 + 3y = -10 + 6 + -2x
3y = -10 + 6 + -2x

Combine like terms: -10 + 6 = -4
3y = -4 + -2x

Divide each side by '3'.
y = -1.333333333 + -0.6666666667x

Simplifying
y = -1.333333333 + -0.6666666667x