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Simplifying -2.6(y + 14) = 0.5(y + -17) Reorder the terms: -2.6(14 + y) = 0.5(y + -17) (14 * -2.6 + y * -2.6) = 0.5(y + -17) (-36.4 + -2.6y) = 0.5(y + -17) Reorder the terms: -36.4 + -2.6y = 0.5(-17 + y) -36.4 + -2.6y = (-17 * 0.5 + y * 0.5) -36.4 + -2.6y = (-8.5 + 0.5y) Solving -36.4 + -2.6y = -8.5 + 0.5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.5y' to each side of the equation. -36.4 + -2.6y + -0.5y = -8.5 + 0.5y + -0.5y Combine like terms: -2.6y + -0.5y = -3.1y -36.4 + -3.1y = -8.5 + 0.5y + -0.5y Combine like terms: 0.5y + -0.5y = 0.0 -36.4 + -3.1y = -8.5 + 0.0 -36.4 + -3.1y = -8.5 Add '36.4' to each side of the equation. -36.4 + 36.4 + -3.1y = -8.5 + 36.4 Combine like terms: -36.4 + 36.4 = 0.0 0.0 + -3.1y = -8.5 + 36.4 -3.1y = -8.5 + 36.4 Combine like terms: -8.5 + 36.4 = 27.9 -3.1y = 27.9 Divide each side by '-3.1'. y = -9 Simplifying y = -9
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