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Simplifying -3(8y + 2) = -4(10y + -6) + 6y Reorder the terms: -3(2 + 8y) = -4(10y + -6) + 6y (2 * -3 + 8y * -3) = -4(10y + -6) + 6y (-6 + -24y) = -4(10y + -6) + 6y Reorder the terms: -6 + -24y = -4(-6 + 10y) + 6y -6 + -24y = (-6 * -4 + 10y * -4) + 6y -6 + -24y = (24 + -40y) + 6y Combine like terms: -40y + 6y = -34y -6 + -24y = 24 + -34y Solving -6 + -24y = 24 + -34y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '34y' to each side of the equation. -6 + -24y + 34y = 24 + -34y + 34y Combine like terms: -24y + 34y = 10y -6 + 10y = 24 + -34y + 34y Combine like terms: -34y + 34y = 0 -6 + 10y = 24 + 0 -6 + 10y = 24 Add '6' to each side of the equation. -6 + 6 + 10y = 24 + 6 Combine like terms: -6 + 6 = 0 0 + 10y = 24 + 6 10y = 24 + 6 Combine like terms: 24 + 6 = 30 10y = 30 Divide each side by '10'. y = 3 Simplifying y = 3
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