y=(5b+4)(4b+3)+4(8b+9)

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Solution for y=(5b+4)(4b+3)+4(8b+9) equation: 


Simplifying
y = (5b + 4)(4b + 3) + 4(8b + 9)

Reorder the terms:
y = (4 + 5b)(4b + 3) + 4(8b + 9)

Reorder the terms:
y = (4 + 5b)(3 + 4b) + 4(8b + 9)

Multiply (4 + 5b) * (3 + 4b)
y = (4(3 + 4b) + 5b * (3 + 4b)) + 4(8b + 9)
y = ((3 * 4 + 4b * 4) + 5b * (3 + 4b)) + 4(8b + 9)
y = ((12 + 16b) + 5b * (3 + 4b)) + 4(8b + 9)
y = (12 + 16b + (3 * 5b + 4b * 5b)) + 4(8b + 9)
y = (12 + 16b + (15b + 20b2)) + 4(8b + 9)

Combine like terms: 16b + 15b = 31b
y = (12 + 31b + 20b2) + 4(8b + 9)

Reorder the terms:
y = 12 + 31b + 20b2 + 4(9 + 8b)
y = 12 + 31b + 20b2 + (9 * 4 + 8b * 4)
y = 12 + 31b + 20b2 + (36 + 32b)

Reorder the terms:
y = 12 + 36 + 31b + 32b + 20b2

Combine like terms: 12 + 36 = 48
y = 48 + 31b + 32b + 20b2

Combine like terms: 31b + 32b = 63b
y = 48 + 63b + 20b2

Solving
y = 48 + 63b + 20b2

Solving for variable 'y'.

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

Simplifying
y = 48 + 63b + 20b2

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