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Simplifying 8(2y + 5) = 7(y + 3) + -15 Reorder the terms: 8(5 + 2y) = 7(y + 3) + -15 (5 * 8 + 2y * 8) = 7(y + 3) + -15 (40 + 16y) = 7(y + 3) + -15 Reorder the terms: 40 + 16y = 7(3 + y) + -15 40 + 16y = (3 * 7 + y * 7) + -15 40 + 16y = (21 + 7y) + -15 Reorder the terms: 40 + 16y = 21 + -15 + 7y Combine like terms: 21 + -15 = 6 40 + 16y = 6 + 7y Solving 40 + 16y = 6 + 7y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-7y' to each side of the equation. 40 + 16y + -7y = 6 + 7y + -7y Combine like terms: 16y + -7y = 9y 40 + 9y = 6 + 7y + -7y Combine like terms: 7y + -7y = 0 40 + 9y = 6 + 0 40 + 9y = 6 Add '-40' to each side of the equation. 40 + -40 + 9y = 6 + -40 Combine like terms: 40 + -40 = 0 0 + 9y = 6 + -40 9y = 6 + -40 Combine like terms: 6 + -40 = -34 9y = -34 Divide each side by '9'. y = -3.777777778 Simplifying y = -3.777777778
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