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Simplifying -2y + -52 = 3y + 13 Reorder the terms: -52 + -2y = 3y + 13 Reorder the terms: -52 + -2y = 13 + 3y Solving -52 + -2y = 13 + 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. -52 + -2y + -3y = 13 + 3y + -3y Combine like terms: -2y + -3y = -5y -52 + -5y = 13 + 3y + -3y Combine like terms: 3y + -3y = 0 -52 + -5y = 13 + 0 -52 + -5y = 13 Add '52' to each side of the equation. -52 + 52 + -5y = 13 + 52 Combine like terms: -52 + 52 = 0 0 + -5y = 13 + 52 -5y = 13 + 52 Combine like terms: 13 + 52 = 65 -5y = 65 Divide each side by '-5'. y = -13 Simplifying y = -13
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