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Simplifying -4(3 + -2y) = 16 + -1(y + 5) (3 * -4 + -2y * -4) = 16 + -1(y + 5) (-12 + 8y) = 16 + -1(y + 5) Reorder the terms: -12 + 8y = 16 + -1(5 + y) -12 + 8y = 16 + (5 * -1 + y * -1) -12 + 8y = 16 + (-5 + -1y) Combine like terms: 16 + -5 = 11 -12 + 8y = 11 + -1y Solving -12 + 8y = 11 + -1y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add 'y' to each side of the equation. -12 + 8y + y = 11 + -1y + y Combine like terms: 8y + y = 9y -12 + 9y = 11 + -1y + y Combine like terms: -1y + y = 0 -12 + 9y = 11 + 0 -12 + 9y = 11 Add '12' to each side of the equation. -12 + 12 + 9y = 11 + 12 Combine like terms: -12 + 12 = 0 0 + 9y = 11 + 12 9y = 11 + 12 Combine like terms: 11 + 12 = 23 9y = 23 Divide each side by '9'. y = 2.555555556 Simplifying y = 2.555555556
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