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