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Simplifying 2 + -1(-1y + -6) = -7(-6y + -7) + 5 Reorder the terms: 2 + -1(-6 + -1y) = -7(-6y + -7) + 5 2 + (-6 * -1 + -1y * -1) = -7(-6y + -7) + 5 2 + (6 + 1y) = -7(-6y + -7) + 5 Combine like terms: 2 + 6 = 8 8 + 1y = -7(-6y + -7) + 5 Reorder the terms: 8 + 1y = -7(-7 + -6y) + 5 8 + 1y = (-7 * -7 + -6y * -7) + 5 8 + 1y = (49 + 42y) + 5 Reorder the terms: 8 + 1y = 49 + 5 + 42y Combine like terms: 49 + 5 = 54 8 + 1y = 54 + 42y Solving 8 + 1y = 54 + 42y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-42y' to each side of the equation. 8 + 1y + -42y = 54 + 42y + -42y Combine like terms: 1y + -42y = -41y 8 + -41y = 54 + 42y + -42y Combine like terms: 42y + -42y = 0 8 + -41y = 54 + 0 8 + -41y = 54 Add '-8' to each side of the equation. 8 + -8 + -41y = 54 + -8 Combine like terms: 8 + -8 = 0 0 + -41y = 54 + -8 -41y = 54 + -8 Combine like terms: 54 + -8 = 46 -41y = 46 Divide each side by '-41'. y = -1.12195122 Simplifying y = -1.12195122
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