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Simplifying -4y + 8(-2y + 1) = -4 + 6(5 + -1y) Reorder the terms: -4y + 8(1 + -2y) = -4 + 6(5 + -1y) -4y + (1 * 8 + -2y * 8) = -4 + 6(5 + -1y) -4y + (8 + -16y) = -4 + 6(5 + -1y) Reorder the terms: 8 + -4y + -16y = -4 + 6(5 + -1y) Combine like terms: -4y + -16y = -20y 8 + -20y = -4 + 6(5 + -1y) 8 + -20y = -4 + (5 * 6 + -1y * 6) 8 + -20y = -4 + (30 + -6y) Combine like terms: -4 + 30 = 26 8 + -20y = 26 + -6y Solving 8 + -20y = 26 + -6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '6y' to each side of the equation. 8 + -20y + 6y = 26 + -6y + 6y Combine like terms: -20y + 6y = -14y 8 + -14y = 26 + -6y + 6y Combine like terms: -6y + 6y = 0 8 + -14y = 26 + 0 8 + -14y = 26 Add '-8' to each side of the equation. 8 + -8 + -14y = 26 + -8 Combine like terms: 8 + -8 = 0 0 + -14y = 26 + -8 -14y = 26 + -8 Combine like terms: 26 + -8 = 18 -14y = 18 Divide each side by '-14'. y = -1.285714286 Simplifying y = -1.285714286
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