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Simplifying 3y + 13 = -2y + -52 Reorder the terms: 13 + 3y = -2y + -52 Reorder the terms: 13 + 3y = -52 + -2y Solving 13 + 3y = -52 + -2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '2y' to each side of the equation. 13 + 3y + 2y = -52 + -2y + 2y Combine like terms: 3y + 2y = 5y 13 + 5y = -52 + -2y + 2y Combine like terms: -2y + 2y = 0 13 + 5y = -52 + 0 13 + 5y = -52 Add '-13' to each side of the equation. 13 + -13 + 5y = -52 + -13 Combine like terms: 13 + -13 = 0 0 + 5y = -52 + -13 5y = -52 + -13 Combine like terms: -52 + -13 = -65 5y = -65 Divide each side by '5'. y = -13 Simplifying y = -13
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