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Simplifying -2y + 7(-8y + 3) = 5 + -8(-3 + -1y) Reorder the terms: -2y + 7(3 + -8y) = 5 + -8(-3 + -1y) -2y + (3 * 7 + -8y * 7) = 5 + -8(-3 + -1y) -2y + (21 + -56y) = 5 + -8(-3 + -1y) Reorder the terms: 21 + -2y + -56y = 5 + -8(-3 + -1y) Combine like terms: -2y + -56y = -58y 21 + -58y = 5 + -8(-3 + -1y) 21 + -58y = 5 + (-3 * -8 + -1y * -8) 21 + -58y = 5 + (24 + 8y) Combine like terms: 5 + 24 = 29 21 + -58y = 29 + 8y Solving 21 + -58y = 29 + 8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-8y' to each side of the equation. 21 + -58y + -8y = 29 + 8y + -8y Combine like terms: -58y + -8y = -66y 21 + -66y = 29 + 8y + -8y Combine like terms: 8y + -8y = 0 21 + -66y = 29 + 0 21 + -66y = 29 Add '-21' to each side of the equation. 21 + -21 + -66y = 29 + -21 Combine like terms: 21 + -21 = 0 0 + -66y = 29 + -21 -66y = 29 + -21 Combine like terms: 29 + -21 = 8 -66y = 8 Divide each side by '-66'. y = -0.1212121212 Simplifying y = -0.1212121212
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