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Simplifying (4y + 8) + -1(2 + 3y) = 10 Reorder the terms: (8 + 4y) + -1(2 + 3y) = 10 Remove parenthesis around (8 + 4y) 8 + 4y + -1(2 + 3y) = 10 8 + 4y + (2 * -1 + 3y * -1) = 10 8 + 4y + (-2 + -3y) = 10 Reorder the terms: 8 + -2 + 4y + -3y = 10 Combine like terms: 8 + -2 = 6 6 + 4y + -3y = 10 Combine like terms: 4y + -3y = 1y 6 + 1y = 10 Solving 6 + 1y = 10 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 1y = 10 + -6 Combine like terms: 6 + -6 = 0 0 + 1y = 10 + -6 1y = 10 + -6 Combine like terms: 10 + -6 = 4 1y = 4 Divide each side by '1'. y = 4 Simplifying y = 4
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