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Simplifying -8(3y + 13) = -19y + -14 Reorder the terms: -8(13 + 3y) = -19y + -14 (13 * -8 + 3y * -8) = -19y + -14 (-104 + -24y) = -19y + -14 Reorder the terms: -104 + -24y = -14 + -19y Solving -104 + -24y = -14 + -19y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '19y' to each side of the equation. -104 + -24y + 19y = -14 + -19y + 19y Combine like terms: -24y + 19y = -5y -104 + -5y = -14 + -19y + 19y Combine like terms: -19y + 19y = 0 -104 + -5y = -14 + 0 -104 + -5y = -14 Add '104' to each side of the equation. -104 + 104 + -5y = -14 + 104 Combine like terms: -104 + 104 = 0 0 + -5y = -14 + 104 -5y = -14 + 104 Combine like terms: -14 + 104 = 90 -5y = 90 Divide each side by '-5'. y = -18 Simplifying y = -18
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