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Simplifying -6(6y + 7) + -1(-5y + 8) = 2 Reorder the terms: -6(7 + 6y) + -1(-5y + 8) = 2 (7 * -6 + 6y * -6) + -1(-5y + 8) = 2 (-42 + -36y) + -1(-5y + 8) = 2 Reorder the terms: -42 + -36y + -1(8 + -5y) = 2 -42 + -36y + (8 * -1 + -5y * -1) = 2 -42 + -36y + (-8 + 5y) = 2 Reorder the terms: -42 + -8 + -36y + 5y = 2 Combine like terms: -42 + -8 = -50 -50 + -36y + 5y = 2 Combine like terms: -36y + 5y = -31y -50 + -31y = 2 Solving -50 + -31y = 2 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '50' to each side of the equation. -50 + 50 + -31y = 2 + 50 Combine like terms: -50 + 50 = 0 0 + -31y = 2 + 50 -31y = 2 + 50 Combine like terms: 2 + 50 = 52 -31y = 52 Divide each side by '-31'. y = -1.677419355 Simplifying y = -1.677419355
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