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Simplifying -83 + 14y + 8 = 6(3y + -5) + -9 Reorder the terms: -83 + 8 + 14y = 6(3y + -5) + -9 Combine like terms: -83 + 8 = -75 -75 + 14y = 6(3y + -5) + -9 Reorder the terms: -75 + 14y = 6(-5 + 3y) + -9 -75 + 14y = (-5 * 6 + 3y * 6) + -9 -75 + 14y = (-30 + 18y) + -9 Reorder the terms: -75 + 14y = -30 + -9 + 18y Combine like terms: -30 + -9 = -39 -75 + 14y = -39 + 18y Solving -75 + 14y = -39 + 18y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-18y' to each side of the equation. -75 + 14y + -18y = -39 + 18y + -18y Combine like terms: 14y + -18y = -4y -75 + -4y = -39 + 18y + -18y Combine like terms: 18y + -18y = 0 -75 + -4y = -39 + 0 -75 + -4y = -39 Add '75' to each side of the equation. -75 + 75 + -4y = -39 + 75 Combine like terms: -75 + 75 = 0 0 + -4y = -39 + 75 -4y = -39 + 75 Combine like terms: -39 + 75 = 36 -4y = 36 Divide each side by '-4'. y = -9 Simplifying y = -9
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