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Simplifying 4y + -1(8y + 15) = 5 + -1(6y + -9) Reorder the terms: 4y + -1(15 + 8y) = 5 + -1(6y + -9) 4y + (15 * -1 + 8y * -1) = 5 + -1(6y + -9) 4y + (-15 + -8y) = 5 + -1(6y + -9) Reorder the terms: -15 + 4y + -8y = 5 + -1(6y + -9) Combine like terms: 4y + -8y = -4y -15 + -4y = 5 + -1(6y + -9) Reorder the terms: -15 + -4y = 5 + -1(-9 + 6y) -15 + -4y = 5 + (-9 * -1 + 6y * -1) -15 + -4y = 5 + (9 + -6y) Combine like terms: 5 + 9 = 14 -15 + -4y = 14 + -6y Solving -15 + -4y = 14 + -6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '6y' to each side of the equation. -15 + -4y + 6y = 14 + -6y + 6y Combine like terms: -4y + 6y = 2y -15 + 2y = 14 + -6y + 6y Combine like terms: -6y + 6y = 0 -15 + 2y = 14 + 0 -15 + 2y = 14 Add '15' to each side of the equation. -15 + 15 + 2y = 14 + 15 Combine like terms: -15 + 15 = 0 0 + 2y = 14 + 15 2y = 14 + 15 Combine like terms: 14 + 15 = 29 2y = 29 Divide each side by '2'. y = 14.5 Simplifying y = 14.5
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