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Simplifying 5(4 + -2y) = 8(3y + -2) (4 * 5 + -2y * 5) = 8(3y + -2) (20 + -10y) = 8(3y + -2) Reorder the terms: 20 + -10y = 8(-2 + 3y) 20 + -10y = (-2 * 8 + 3y * 8) 20 + -10y = (-16 + 24y) Solving 20 + -10y = -16 + 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. 20 + -10y + -24y = -16 + 24y + -24y Combine like terms: -10y + -24y = -34y 20 + -34y = -16 + 24y + -24y Combine like terms: 24y + -24y = 0 20 + -34y = -16 + 0 20 + -34y = -16 Add '-20' to each side of the equation. 20 + -20 + -34y = -16 + -20 Combine like terms: 20 + -20 = 0 0 + -34y = -16 + -20 -34y = -16 + -20 Combine like terms: -16 + -20 = -36 -34y = -36 Divide each side by '-34'. y = 1.058823529 Simplifying y = 1.058823529
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