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Simplifying (4y + 7) + -1(2 + 3y) = 10 Reorder the terms: (7 + 4y) + -1(2 + 3y) = 10 Remove parenthesis around (7 + 4y) 7 + 4y + -1(2 + 3y) = 10 7 + 4y + (2 * -1 + 3y * -1) = 10 7 + 4y + (-2 + -3y) = 10 Reorder the terms: 7 + -2 + 4y + -3y = 10 Combine like terms: 7 + -2 = 5 5 + 4y + -3y = 10 Combine like terms: 4y + -3y = 1y 5 + 1y = 10 Solving 5 + 1y = 10 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 1y = 10 + -5 Combine like terms: 5 + -5 = 0 0 + 1y = 10 + -5 1y = 10 + -5 Combine like terms: 10 + -5 = 5 1y = 5 Divide each side by '1'. y = 5 Simplifying y = 5
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