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Simplifying (4y + 8) + -1(7 + 3y) = 2 Reorder the terms: (8 + 4y) + -1(7 + 3y) = 2 Remove parenthesis around (8 + 4y) 8 + 4y + -1(7 + 3y) = 2 8 + 4y + (7 * -1 + 3y * -1) = 2 8 + 4y + (-7 + -3y) = 2 Reorder the terms: 8 + -7 + 4y + -3y = 2 Combine like terms: 8 + -7 = 1 1 + 4y + -3y = 2 Combine like terms: 4y + -3y = 1y 1 + 1y = 2 Solving 1 + 1y = 2 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 = 2 + -1 Combine like terms: 1 + -1 = 0 0 + 1y = 2 + -1 1y = 2 + -1 Combine like terms: 2 + -1 = 1 1y = 1 Divide each side by '1'. y = 1 Simplifying y = 1
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