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Simplifying 3(16 + 5y) = (12 + 12y) * 5 + 8 (16 * 3 + 5y * 3) = (12 + 12y) * 5 + 8 (48 + 15y) = (12 + 12y) * 5 + 8 Reorder the terms for easier multiplication: 48 + 15y = 5(12 + 12y) + 8 48 + 15y = (12 * 5 + 12y * 5) + 8 48 + 15y = (60 + 60y) + 8 Reorder the terms: 48 + 15y = 60 + 8 + 60y Combine like terms: 60 + 8 = 68 48 + 15y = 68 + 60y Solving 48 + 15y = 68 + 60y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-60y' to each side of the equation. 48 + 15y + -60y = 68 + 60y + -60y Combine like terms: 15y + -60y = -45y 48 + -45y = 68 + 60y + -60y Combine like terms: 60y + -60y = 0 48 + -45y = 68 + 0 48 + -45y = 68 Add '-48' to each side of the equation. 48 + -48 + -45y = 68 + -48 Combine like terms: 48 + -48 = 0 0 + -45y = 68 + -48 -45y = 68 + -48 Combine like terms: 68 + -48 = 20 -45y = 20 Divide each side by '-45'. y = -0.4444444444 Simplifying y = -0.4444444444
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