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Simplifying 6(y + 8) = 16 + 5y + -10 Reorder the terms: 6(8 + y) = 16 + 5y + -10 (8 * 6 + y * 6) = 16 + 5y + -10 (48 + 6y) = 16 + 5y + -10 Reorder the terms: 48 + 6y = 16 + -10 + 5y Combine like terms: 16 + -10 = 6 48 + 6y = 6 + 5y Solving 48 + 6y = 6 + 5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-5y' to each side of the equation. 48 + 6y + -5y = 6 + 5y + -5y Combine like terms: 6y + -5y = 1y 48 + 1y = 6 + 5y + -5y Combine like terms: 5y + -5y = 0 48 + 1y = 6 + 0 48 + 1y = 6 Add '-48' to each side of the equation. 48 + -48 + 1y = 6 + -48 Combine like terms: 48 + -48 = 0 0 + 1y = 6 + -48 1y = 6 + -48 Combine like terms: 6 + -48 = -42 1y = -42 Divide each side by '1'. y = -42 Simplifying y = -42
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