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Simplifying -5y + 1 = 4(2y + 5) Reorder the terms: 1 + -5y = 4(2y + 5) Reorder the terms: 1 + -5y = 4(5 + 2y) 1 + -5y = (5 * 4 + 2y * 4) 1 + -5y = (20 + 8y) Solving 1 + -5y = 20 + 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. 1 + -5y + -8y = 20 + 8y + -8y Combine like terms: -5y + -8y = -13y 1 + -13y = 20 + 8y + -8y Combine like terms: 8y + -8y = 0 1 + -13y = 20 + 0 1 + -13y = 20 Add '-1' to each side of the equation. 1 + -1 + -13y = 20 + -1 Combine like terms: 1 + -1 = 0 0 + -13y = 20 + -1 -13y = 20 + -1 Combine like terms: 20 + -1 = 19 -13y = 19 Divide each side by '-13'. y = -1.461538462 Simplifying y = -1.461538462
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