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Simplifying (4y + 7) + -1(5 + 3y) = 8 Reorder the terms: (7 + 4y) + -1(5 + 3y) = 8 Remove parenthesis around (7 + 4y) 7 + 4y + -1(5 + 3y) = 8 7 + 4y + (5 * -1 + 3y * -1) = 8 7 + 4y + (-5 + -3y) = 8 Reorder the terms: 7 + -5 + 4y + -3y = 8 Combine like terms: 7 + -5 = 2 2 + 4y + -3y = 8 Combine like terms: 4y + -3y = 1y 2 + 1y = 8 Solving 2 + 1y = 8 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 1y = 8 + -2 Combine like terms: 2 + -2 = 0 0 + 1y = 8 + -2 1y = 8 + -2 Combine like terms: 8 + -2 = 6 1y = 6 Divide each side by '1'. y = 6 Simplifying y = 6
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