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Simplifying -2(3y + -5) = 1 + -3y Reorder the terms: -2(-5 + 3y) = 1 + -3y (-5 * -2 + 3y * -2) = 1 + -3y (10 + -6y) = 1 + -3y Solving 10 + -6y = 1 + -3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '3y' to each side of the equation. 10 + -6y + 3y = 1 + -3y + 3y Combine like terms: -6y + 3y = -3y 10 + -3y = 1 + -3y + 3y Combine like terms: -3y + 3y = 0 10 + -3y = 1 + 0 10 + -3y = 1 Add '-10' to each side of the equation. 10 + -10 + -3y = 1 + -10 Combine like terms: 10 + -10 = 0 0 + -3y = 1 + -10 -3y = 1 + -10 Combine like terms: 1 + -10 = -9 -3y = -9 Divide each side by '-3'. y = 3 Simplifying y = 3
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