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Simplifying (6y2 + 4y + 1) + -1(6y2 + 5) = 20 Reorder the terms: (1 + 4y + 6y2) + -1(6y2 + 5) = 20 Remove parenthesis around (1 + 4y + 6y2) 1 + 4y + 6y2 + -1(6y2 + 5) = 20 Reorder the terms: 1 + 4y + 6y2 + -1(5 + 6y2) = 20 1 + 4y + 6y2 + (5 * -1 + 6y2 * -1) = 20 1 + 4y + 6y2 + (-5 + -6y2) = 20 Reorder the terms: 1 + -5 + 4y + 6y2 + -6y2 = 20 Combine like terms: 1 + -5 = -4 -4 + 4y + 6y2 + -6y2 = 20 Combine like terms: 6y2 + -6y2 = 0 -4 + 4y + 0 = 20 -4 + 4y = 20 Solving -4 + 4y = 20 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 4y = 20 + 4 Combine like terms: -4 + 4 = 0 0 + 4y = 20 + 4 4y = 20 + 4 Combine like terms: 20 + 4 = 24 4y = 24 Divide each side by '4'. y = 6 Simplifying y = 6
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