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Simplifying 6(9 + -1y) = 2y + -2 (9 * 6 + -1y * 6) = 2y + -2 (54 + -6y) = 2y + -2 Reorder the terms: 54 + -6y = -2 + 2y Solving 54 + -6y = -2 + 2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2y' to each side of the equation. 54 + -6y + -2y = -2 + 2y + -2y Combine like terms: -6y + -2y = -8y 54 + -8y = -2 + 2y + -2y Combine like terms: 2y + -2y = 0 54 + -8y = -2 + 0 54 + -8y = -2 Add '-54' to each side of the equation. 54 + -54 + -8y = -2 + -54 Combine like terms: 54 + -54 = 0 0 + -8y = -2 + -54 -8y = -2 + -54 Combine like terms: -2 + -54 = -56 -8y = -56 Divide each side by '-8'. y = 7 Simplifying y = 7
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