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Simplifying -6 + -1(y + 3) = -81 + 3y Reorder the terms: -6 + -1(3 + y) = -81 + 3y -6 + (3 * -1 + y * -1) = -81 + 3y -6 + (-3 + -1y) = -81 + 3y Combine like terms: -6 + -3 = -9 -9 + -1y = -81 + 3y Solving -9 + -1y = -81 + 3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3y' to each side of the equation. -9 + -1y + -3y = -81 + 3y + -3y Combine like terms: -1y + -3y = -4y -9 + -4y = -81 + 3y + -3y Combine like terms: 3y + -3y = 0 -9 + -4y = -81 + 0 -9 + -4y = -81 Add '9' to each side of the equation. -9 + 9 + -4y = -81 + 9 Combine like terms: -9 + 9 = 0 0 + -4y = -81 + 9 -4y = -81 + 9 Combine like terms: -81 + 9 = -72 -4y = -72 Divide each side by '-4'. y = 18 Simplifying y = 18
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