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Simplifying (4y + 5) + -1(4 + 3y) = 8 Reorder the terms: (5 + 4y) + -1(4 + 3y) = 8 Remove parenthesis around (5 + 4y) 5 + 4y + -1(4 + 3y) = 8 5 + 4y + (4 * -1 + 3y * -1) = 8 5 + 4y + (-4 + -3y) = 8 Reorder the terms: 5 + -4 + 4y + -3y = 8 Combine like terms: 5 + -4 = 1 1 + 4y + -3y = 8 Combine like terms: 4y + -3y = 1y 1 + 1y = 8 Solving 1 + 1y = 8 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 1y = 8 + -1 Combine like terms: 1 + -1 = 0 0 + 1y = 8 + -1 1y = 8 + -1 Combine like terms: 8 + -1 = 7 1y = 7 Divide each side by '1'. y = 7 Simplifying y = 7
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