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