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Simplifying -2(4y + -5) + 6(2y + 1) = 6 Reorder the terms: -2(-5 + 4y) + 6(2y + 1) = 6 (-5 * -2 + 4y * -2) + 6(2y + 1) = 6 (10 + -8y) + 6(2y + 1) = 6 Reorder the terms: 10 + -8y + 6(1 + 2y) = 6 10 + -8y + (1 * 6 + 2y * 6) = 6 10 + -8y + (6 + 12y) = 6 Reorder the terms: 10 + 6 + -8y + 12y = 6 Combine like terms: 10 + 6 = 16 16 + -8y + 12y = 6 Combine like terms: -8y + 12y = 4y 16 + 4y = 6 Solving 16 + 4y = 6 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + 4y = 6 + -16 Combine like terms: 16 + -16 = 0 0 + 4y = 6 + -16 4y = 6 + -16 Combine like terms: 6 + -16 = -10 4y = -10 Divide each side by '4'. y = -2.5 Simplifying y = -2.5
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