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Simplifying (4y + 6) + -1(5 + 3y) = 12 Reorder the terms: (6 + 4y) + -1(5 + 3y) = 12 Remove parenthesis around (6 + 4y) 6 + 4y + -1(5 + 3y) = 12 6 + 4y + (5 * -1 + 3y * -1) = 12 6 + 4y + (-5 + -3y) = 12 Reorder the terms: 6 + -5 + 4y + -3y = 12 Combine like terms: 6 + -5 = 1 1 + 4y + -3y = 12 Combine like terms: 4y + -3y = 1y 1 + 1y = 12 Solving 1 + 1y = 12 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 = 12 + -1 Combine like terms: 1 + -1 = 0 0 + 1y = 12 + -1 1y = 12 + -1 Combine like terms: 12 + -1 = 11 1y = 11 Divide each side by '1'. y = 11 Simplifying y = 11
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