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Simplifying -3y + 1 = -2(3y + 13) Reorder the terms: 1 + -3y = -2(3y + 13) Reorder the terms: 1 + -3y = -2(13 + 3y) 1 + -3y = (13 * -2 + 3y * -2) 1 + -3y = (-26 + -6y) Solving 1 + -3y = -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. 1 + -3y + 6y = -26 + -6y + 6y Combine like terms: -3y + 6y = 3y 1 + 3y = -26 + -6y + 6y Combine like terms: -6y + 6y = 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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