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Simplifying -2(10y + 2) = -3(-9 + -8y) Reorder the terms: -2(2 + 10y) = -3(-9 + -8y) (2 * -2 + 10y * -2) = -3(-9 + -8y) (-4 + -20y) = -3(-9 + -8y) -4 + -20y = (-9 * -3 + -8y * -3) -4 + -20y = (27 + 24y) Solving -4 + -20y = 27 + 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. -4 + -20y + -24y = 27 + 24y + -24y Combine like terms: -20y + -24y = -44y -4 + -44y = 27 + 24y + -24y Combine like terms: 24y + -24y = 0 -4 + -44y = 27 + 0 -4 + -44y = 27 Add '4' to each side of the equation. -4 + 4 + -44y = 27 + 4 Combine like terms: -4 + 4 = 0 0 + -44y = 27 + 4 -44y = 27 + 4 Combine like terms: 27 + 4 = 31 -44y = 31 Divide each side by '-44'. y = -0.7045454545 Simplifying y = -0.7045454545
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