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Simplifying -5(y + -6) = 1 + -4y Reorder the terms: -5(-6 + y) = 1 + -4y (-6 * -5 + y * -5) = 1 + -4y (30 + -5y) = 1 + -4y Solving 30 + -5y = 1 + -4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '4y' to each side of the equation. 30 + -5y + 4y = 1 + -4y + 4y Combine like terms: -5y + 4y = -1y 30 + -1y = 1 + -4y + 4y Combine like terms: -4y + 4y = 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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