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Simplifying (4y + 7) + -1(4 + 3y) = 12 Reorder the terms: (7 + 4y) + -1(4 + 3y) = 12 Remove parenthesis around (7 + 4y) 7 + 4y + -1(4 + 3y) = 12 7 + 4y + (4 * -1 + 3y * -1) = 12 7 + 4y + (-4 + -3y) = 12 Reorder the terms: 7 + -4 + 4y + -3y = 12 Combine like terms: 7 + -4 = 3 3 + 4y + -3y = 12 Combine like terms: 4y + -3y = 1y 3 + 1y = 12 Solving 3 + 1y = 12 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 1y = 12 + -3 Combine like terms: 3 + -3 = 0 0 + 1y = 12 + -3 1y = 12 + -3 Combine like terms: 12 + -3 = 9 1y = 9 Divide each side by '1'. y = 9 Simplifying y = 9
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