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Simplifying -101 + 14y + 2 = 6(4y + -5) + -9 Reorder the terms: -101 + 2 + 14y = 6(4y + -5) + -9 Combine like terms: -101 + 2 = -99 -99 + 14y = 6(4y + -5) + -9 Reorder the terms: -99 + 14y = 6(-5 + 4y) + -9 -99 + 14y = (-5 * 6 + 4y * 6) + -9 -99 + 14y = (-30 + 24y) + -9 Reorder the terms: -99 + 14y = -30 + -9 + 24y Combine like terms: -30 + -9 = -39 -99 + 14y = -39 + 24y Solving -99 + 14y = -39 + 24y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-24y' to each side of the equation. -99 + 14y + -24y = -39 + 24y + -24y Combine like terms: 14y + -24y = -10y -99 + -10y = -39 + 24y + -24y Combine like terms: 24y + -24y = 0 -99 + -10y = -39 + 0 -99 + -10y = -39 Add '99' to each side of the equation. -99 + 99 + -10y = -39 + 99 Combine like terms: -99 + 99 = 0 0 + -10y = -39 + 99 -10y = -39 + 99 Combine like terms: -39 + 99 = 60 -10y = 60 Divide each side by '-10'. y = -6 Simplifying y = -6
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