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Simplifying 1 + -5y = -1(3y + 5) Reorder the terms: 1 + -5y = -1(5 + 3y) 1 + -5y = (5 * -1 + 3y * -1) 1 + -5y = (-5 + -3y) Solving 1 + -5y = -5 + -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. 1 + -5y + 3y = -5 + -3y + 3y Combine like terms: -5y + 3y = -2y 1 + -2y = -5 + -3y + 3y Combine like terms: -3y + 3y = 0 1 + -2y = -5 + 0 1 + -2y = -5 Add '-1' to each side of the equation. 1 + -1 + -2y = -5 + -1 Combine like terms: 1 + -1 = 0 0 + -2y = -5 + -1 -2y = -5 + -1 Combine like terms: -5 + -1 = -6 -2y = -6 Divide each side by '-2'. y = 3 Simplifying y = 3
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