A=(3y+4)(5y-2)-(20y-12)

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Solution for A=(3y+4)(5y-2)-(20y-12) equation:


Simplifying
A = (3y + 4)(5y + -2) + -1(20y + -12)

Reorder the terms:
A = (4 + 3y)(5y + -2) + -1(20y + -12)

Reorder the terms:
A = (4 + 3y)(-2 + 5y) + -1(20y + -12)

Multiply (4 + 3y) * (-2 + 5y)
A = (4(-2 + 5y) + 3y * (-2 + 5y)) + -1(20y + -12)
A = ((-2 * 4 + 5y * 4) + 3y * (-2 + 5y)) + -1(20y + -12)
A = ((-8 + 20y) + 3y * (-2 + 5y)) + -1(20y + -12)
A = (-8 + 20y + (-2 * 3y + 5y * 3y)) + -1(20y + -12)
A = (-8 + 20y + (-6y + 15y2)) + -1(20y + -12)

Combine like terms: 20y + -6y = 14y
A = (-8 + 14y + 15y2) + -1(20y + -12)

Reorder the terms:
A = -8 + 14y + 15y2 + -1(-12 + 20y)
A = -8 + 14y + 15y2 + (-12 * -1 + 20y * -1)
A = -8 + 14y + 15y2 + (12 + -20y)

Reorder the terms:
A = -8 + 12 + 14y + -20y + 15y2

Combine like terms: -8 + 12 = 4
A = 4 + 14y + -20y + 15y2

Combine like terms: 14y + -20y = -6y
A = 4 + -6y + 15y2

Solving
A = 4 + -6y + 15y2

Solving for variable 'A'.

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

Simplifying
A = 4 + -6y + 15y2

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