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Simplifying (y + -5) + -1(y + 5) = 4y Reorder the terms: (-5 + y) + -1(y + 5) = 4y Remove parenthesis around (-5 + y) -5 + y + -1(y + 5) = 4y Reorder the terms: -5 + y + -1(5 + y) = 4y -5 + y + (5 * -1 + y * -1) = 4y -5 + y + (-5 + -1y) = 4y Reorder the terms: -5 + -5 + y + -1y = 4y Combine like terms: -5 + -5 = -10 -10 + y + -1y = 4y Combine like terms: y + -1y = 0 -10 + 0 = 4y -10 = 4y Solving -10 = 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. -10 + -4y = 4y + -4y Combine like terms: 4y + -4y = 0 -10 + -4y = 0 Add '10' to each side of the equation. -10 + 10 + -4y = 0 + 10 Combine like terms: -10 + 10 = 0 0 + -4y = 0 + 10 -4y = 0 + 10 Combine like terms: 0 + 10 = 10 -4y = 10 Divide each side by '-4'. y = -2.5 Simplifying y = -2.5
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