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Simplifying 6(y + 8) = 5y + -5 Reorder the terms: 6(8 + y) = 5y + -5 (8 * 6 + y * 6) = 5y + -5 (48 + 6y) = 5y + -5 Reorder the terms: 48 + 6y = -5 + 5y Solving 48 + 6y = -5 + 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 = -5 + 5y + -5y Combine like terms: 6y + -5y = 1y 48 + 1y = -5 + 5y + -5y Combine like terms: 5y + -5y = 0 48 + 1y = -5 + 0 48 + 1y = -5 Add '-48' to each side of the equation. 48 + -48 + 1y = -5 + -48 Combine like terms: 48 + -48 = 0 0 + 1y = -5 + -48 1y = -5 + -48 Combine like terms: -5 + -48 = -53 1y = -53 Divide each side by '1'. y = -53 Simplifying y = -53
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