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Simplifying -1(y + 1) + (5 + 4y) = 7 Reorder the terms: -1(1 + y) + (5 + 4y) = 7 (1 * -1 + y * -1) + (5 + 4y) = 7 (-1 + -1y) + (5 + 4y) = 7 Remove parenthesis around (5 + 4y) -1 + -1y + 5 + 4y = 7 Reorder the terms: -1 + 5 + -1y + 4y = 7 Combine like terms: -1 + 5 = 4 4 + -1y + 4y = 7 Combine like terms: -1y + 4y = 3y 4 + 3y = 7 Solving 4 + 3y = 7 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 3y = 7 + -4 Combine like terms: 4 + -4 = 0 0 + 3y = 7 + -4 3y = 7 + -4 Combine like terms: 7 + -4 = 3 3y = 3 Divide each side by '3'. y = 1 Simplifying y = 1
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