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Simplifying (4y + 5) + -1(3 + 3y) = 10 Reorder the terms: (5 + 4y) + -1(3 + 3y) = 10 Remove parenthesis around (5 + 4y) 5 + 4y + -1(3 + 3y) = 10 5 + 4y + (3 * -1 + 3y * -1) = 10 5 + 4y + (-3 + -3y) = 10 Reorder the terms: 5 + -3 + 4y + -3y = 10 Combine like terms: 5 + -3 = 2 2 + 4y + -3y = 10 Combine like terms: 4y + -3y = 1y 2 + 1y = 10 Solving 2 + 1y = 10 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 = 10 + -2 Combine like terms: 2 + -2 = 0 0 + 1y = 10 + -2 1y = 10 + -2 Combine like terms: 10 + -2 = 8 1y = 8 Divide each side by '1'. y = 8 Simplifying y = 8
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