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Simplifying (4y + 6) + -1(2 + 3y) = 12 Reorder the terms: (6 + 4y) + -1(2 + 3y) = 12 Remove parenthesis around (6 + 4y) 6 + 4y + -1(2 + 3y) = 12 6 + 4y + (2 * -1 + 3y * -1) = 12 6 + 4y + (-2 + -3y) = 12 Reorder the terms: 6 + -2 + 4y + -3y = 12 Combine like terms: 6 + -2 = 4 4 + 4y + -3y = 12 Combine like terms: 4y + -3y = 1y 4 + 1y = 12 Solving 4 + 1y = 12 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 1y = 12 + -4 Combine like terms: 4 + -4 = 0 0 + 1y = 12 + -4 1y = 12 + -4 Combine like terms: 12 + -4 = 8 1y = 8 Divide each side by '1'. y = 8 Simplifying y = 8
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