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Simplifying 9(y + 6) = 10y + -1 Reorder the terms: 9(6 + y) = 10y + -1 (6 * 9 + y * 9) = 10y + -1 (54 + 9y) = 10y + -1 Reorder the terms: 54 + 9y = -1 + 10y Solving 54 + 9y = -1 + 10y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-10y' to each side of the equation. 54 + 9y + -10y = -1 + 10y + -10y Combine like terms: 9y + -10y = -1y 54 + -1y = -1 + 10y + -10y Combine like terms: 10y + -10y = 0 54 + -1y = -1 + 0 54 + -1y = -1 Add '-54' to each side of the equation. 54 + -54 + -1y = -1 + -54 Combine like terms: 54 + -54 = 0 0 + -1y = -1 + -54 -1y = -1 + -54 Combine like terms: -1 + -54 = -55 -1y = -55 Divide each side by '-1'. y = 55 Simplifying y = 55
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