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Simplifying (3y + 7) + -1(-4 + 2y) = 0 Reorder the terms: (7 + 3y) + -1(-4 + 2y) = 0 Remove parenthesis around (7 + 3y) 7 + 3y + -1(-4 + 2y) = 0 7 + 3y + (-4 * -1 + 2y * -1) = 0 7 + 3y + (4 + -2y) = 0 Reorder the terms: 7 + 4 + 3y + -2y = 0 Combine like terms: 7 + 4 = 11 11 + 3y + -2y = 0 Combine like terms: 3y + -2y = 1y 11 + 1y = 0 Solving 11 + 1y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + 1y = 0 + -11 Combine like terms: 11 + -11 = 0 0 + 1y = 0 + -11 1y = 0 + -11 Combine like terms: 0 + -11 = -11 1y = -11 Divide each side by '1'. y = -11 Simplifying y = -11
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