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Simplifying 3(4y + 5) = 9y + -1 + -1y Reorder the terms: 3(5 + 4y) = 9y + -1 + -1y (5 * 3 + 4y * 3) = 9y + -1 + -1y (15 + 12y) = 9y + -1 + -1y Reorder the terms: 15 + 12y = -1 + 9y + -1y Combine like terms: 9y + -1y = 8y 15 + 12y = -1 + 8y Solving 15 + 12y = -1 + 8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-8y' to each side of the equation. 15 + 12y + -8y = -1 + 8y + -8y Combine like terms: 12y + -8y = 4y 15 + 4y = -1 + 8y + -8y Combine like terms: 8y + -8y = 0 15 + 4y = -1 + 0 15 + 4y = -1 Add '-15' to each side of the equation. 15 + -15 + 4y = -1 + -15 Combine like terms: 15 + -15 = 0 0 + 4y = -1 + -15 4y = -1 + -15 Combine like terms: -1 + -15 = -16 4y = -16 Divide each side by '4'. y = -4 Simplifying y = -4
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