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Simplifying 9 + -1(4y + -21) = 1 + -5y Reorder the terms: 9 + -1(-21 + 4y) = 1 + -5y 9 + (-21 * -1 + 4y * -1) = 1 + -5y 9 + (21 + -4y) = 1 + -5y Combine like terms: 9 + 21 = 30 30 + -4y = 1 + -5y Solving 30 + -4y = 1 + -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. 30 + -4y + 5y = 1 + -5y + 5y Combine like terms: -4y + 5y = 1y 30 + 1y = 1 + -5y + 5y Combine like terms: -5y + 5y = 0 30 + 1y = 1 + 0 30 + 1y = 1 Add '-30' to each side of the equation. 30 + -30 + 1y = 1 + -30 Combine like terms: 30 + -30 = 0 0 + 1y = 1 + -30 1y = 1 + -30 Combine like terms: 1 + -30 = -29 1y = -29 Divide each side by '1'. y = -29 Simplifying y = -29
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