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Simplifying (y + -5) = 3 + -1(4 + y) Reorder the terms: (-5 + y) = 3 + -1(4 + y) Remove parenthesis around (-5 + y) -5 + y = 3 + -1(4 + y) -5 + y = 3 + (4 * -1 + y * -1) -5 + y = 3 + (-4 + -1y) Combine like terms: 3 + -4 = -1 -5 + y = -1 + -1y Solving -5 + y = -1 + -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. -5 + y + y = -1 + -1y + y Combine like terms: y + y = 2y -5 + 2y = -1 + -1y + y Combine like terms: -1y + y = 0 -5 + 2y = -1 + 0 -5 + 2y = -1 Add '5' to each side of the equation. -5 + 5 + 2y = -1 + 5 Combine like terms: -5 + 5 = 0 0 + 2y = -1 + 5 2y = -1 + 5 Combine like terms: -1 + 5 = 4 2y = 4 Divide each side by '2'. y = 2 Simplifying y = 2
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