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Simplifying -5(y + 3) = 1 + -4y Reorder the terms: -5(3 + y) = 1 + -4y (3 * -5 + y * -5) = 1 + -4y (-15 + -5y) = 1 + -4y Solving -15 + -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. -15 + -5y + 4y = 1 + -4y + 4y Combine like terms: -5y + 4y = -1y -15 + -1y = 1 + -4y + 4y Combine like terms: -4y + 4y = 0 -15 + -1y = 1 + 0 -15 + -1y = 1 Add '15' to each side of the equation. -15 + 15 + -1y = 1 + 15 Combine like terms: -15 + 15 = 0 0 + -1y = 1 + 15 -1y = 1 + 15 Combine like terms: 1 + 15 = 16 -1y = 16 Divide each side by '-1'. y = -16 Simplifying y = -16
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