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Simplifying (6y2 + 7) + -1(6y2 + 3y) = -11 Reorder the terms: (7 + 6y2) + -1(6y2 + 3y) = -11 Remove parenthesis around (7 + 6y2) 7 + 6y2 + -1(6y2 + 3y) = -11 Reorder the terms: 7 + 6y2 + -1(3y + 6y2) = -11 7 + 6y2 + (3y * -1 + 6y2 * -1) = -11 7 + 6y2 + (-3y + -6y2) = -11 Reorder the terms: 7 + -3y + 6y2 + -6y2 = -11 Combine like terms: 6y2 + -6y2 = 0 7 + -3y + 0 = -11 7 + -3y = -11 Solving 7 + -3y = -11 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -3y = -11 + -7 Combine like terms: 7 + -7 = 0 0 + -3y = -11 + -7 -3y = -11 + -7 Combine like terms: -11 + -7 = -18 -3y = -18 Divide each side by '-3'. y = 6 Simplifying y = 6
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