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Simplifying -10y + 3(8 + 8y) = -6(y + -4) -10y + (8 * 3 + 8y * 3) = -6(y + -4) -10y + (24 + 24y) = -6(y + -4) Reorder the terms: 24 + -10y + 24y = -6(y + -4) Combine like terms: -10y + 24y = 14y 24 + 14y = -6(y + -4) Reorder the terms: 24 + 14y = -6(-4 + y) 24 + 14y = (-4 * -6 + y * -6) 24 + 14y = (24 + -6y) Add '-24' to each side of the equation. 24 + -24 + 14y = 24 + -24 + -6y Combine like terms: 24 + -24 = 0 0 + 14y = 24 + -24 + -6y 14y = 24 + -24 + -6y Combine like terms: 24 + -24 = 0 14y = 0 + -6y 14y = -6y Solving 14y = -6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '6y' to each side of the equation. 14y + 6y = -6y + 6y Combine like terms: 14y + 6y = 20y 20y = -6y + 6y Combine like terms: -6y + 6y = 0 20y = 0 Divide each side by '20'. y = 0.0 Simplifying y = 0.0
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