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Simplifying -3y + -13 = 5y + 11 Reorder the terms: -13 + -3y = 5y + 11 Reorder the terms: -13 + -3y = 11 + 5y Solving -13 + -3y = 11 + 5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-5y' to each side of the equation. -13 + -3y + -5y = 11 + 5y + -5y Combine like terms: -3y + -5y = -8y -13 + -8y = 11 + 5y + -5y Combine like terms: 5y + -5y = 0 -13 + -8y = 11 + 0 -13 + -8y = 11 Add '13' to each side of the equation. -13 + 13 + -8y = 11 + 13 Combine like terms: -13 + 13 = 0 0 + -8y = 11 + 13 -8y = 11 + 13 Combine like terms: 11 + 13 = 24 -8y = 24 Divide each side by '-8'. y = -3 Simplifying y = -3
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