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Simplifying -5y + 1 = -2(4y + 13) Reorder the terms: 1 + -5y = -2(4y + 13) Reorder the terms: 1 + -5y = -2(13 + 4y) 1 + -5y = (13 * -2 + 4y * -2) 1 + -5y = (-26 + -8y) Solving 1 + -5y = -26 + -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 = -26 + -8y + 8y Combine like terms: -5y + 8y = 3y 1 + 3y = -26 + -8y + 8y Combine like terms: -8y + 8y = 0 1 + 3y = -26 + 0 1 + 3y = -26 Add '-1' to each side of the equation. 1 + -1 + 3y = -26 + -1 Combine like terms: 1 + -1 = 0 0 + 3y = -26 + -1 3y = -26 + -1 Combine like terms: -26 + -1 = -27 3y = -27 Divide each side by '3'. y = -9 Simplifying y = -9
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