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Simplifying -3y + -19 = 5y + 13 Reorder the terms: -19 + -3y = 5y + 13 Reorder the terms: -19 + -3y = 13 + 5y Solving -19 + -3y = 13 + 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. -19 + -3y + -5y = 13 + 5y + -5y Combine like terms: -3y + -5y = -8y -19 + -8y = 13 + 5y + -5y Combine like terms: 5y + -5y = 0 -19 + -8y = 13 + 0 -19 + -8y = 13 Add '19' to each side of the equation. -19 + 19 + -8y = 13 + 19 Combine like terms: -19 + 19 = 0 0 + -8y = 13 + 19 -8y = 13 + 19 Combine like terms: 13 + 19 = 32 -8y = 32 Divide each side by '-8'. y = -4 Simplifying y = -4
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