y=5q+(2q-6)(q+3)

Solution for y=5q+(2q-6)(q+3) equation:

Simplifying
y = 5q + (2q + -6)(q + 3)

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

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

Multiply (-6 + 2q) * (3 + q)
y = 5q + (-6(3 + q) + 2q * (3 + q))
y = 5q + ((3 * -6 + q * -6) + 2q * (3 + q))
y = 5q + ((-18 + -6q) + 2q * (3 + q))
y = 5q + (-18 + -6q + (3 * 2q + q * 2q))
y = 5q + (-18 + -6q + (6q + 2q2))

Combine like terms: -6q + 6q = 0
y = 5q + (-18 + 0 + 2q2)
y = 5q + (-18 + 2q2)

Reorder the terms:
y = -18 + 5q + 2q2

Solving
y = -18 + 5q + 2q2

Solving for variable 'y'.

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

Simplifying
y = -18 + 5q + 2q2