y=(3x+8)(x-5)

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Solution for y=(3x+8)(x-5) equation: 


Simplifying
y = (3x + 8)(x + -5)

Reorder the terms:
y = (8 + 3x)(x + -5)

Reorder the terms:
y = (8 + 3x)(-5 + x)

Multiply (8 + 3x) * (-5 + x)
y = (8(-5 + x) + 3x * (-5 + x))
y = ((-5 * 8 + x * 8) + 3x * (-5 + x))
y = ((-40 + 8x) + 3x * (-5 + x))
y = (-40 + 8x + (-5 * 3x + x * 3x))
y = (-40 + 8x + (-15x + 3x2))

Combine like terms: 8x + -15x = -7x
y = (-40 + -7x + 3x2)

Solving
y = -40 + -7x + 3x2

Solving for variable 'y'.

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

Simplifying
y = -40 + -7x + 3x2

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