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Simplifying 6(2y + 8) + -2(3y + -2) = 0 Reorder the terms: 6(8 + 2y) + -2(3y + -2) = 0 (8 * 6 + 2y * 6) + -2(3y + -2) = 0 (48 + 12y) + -2(3y + -2) = 0 Reorder the terms: 48 + 12y + -2(-2 + 3y) = 0 48 + 12y + (-2 * -2 + 3y * -2) = 0 48 + 12y + (4 + -6y) = 0 Reorder the terms: 48 + 4 + 12y + -6y = 0 Combine like terms: 48 + 4 = 52 52 + 12y + -6y = 0 Combine like terms: 12y + -6y = 6y 52 + 6y = 0 Solving 52 + 6y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-52' to each side of the equation. 52 + -52 + 6y = 0 + -52 Combine like terms: 52 + -52 = 0 0 + 6y = 0 + -52 6y = 0 + -52 Combine like terms: 0 + -52 = -52 6y = -52 Divide each side by '6'. y = -8.666666667 Simplifying y = -8.666666667
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