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Simplifying y + -6 + 2(4y + 2) = -5(y + 4) Reorder the terms: y + -6 + 2(2 + 4y) = -5(y + 4) y + -6 + (2 * 2 + 4y * 2) = -5(y + 4) y + -6 + (4 + 8y) = -5(y + 4) Reorder the terms: -6 + 4 + y + 8y = -5(y + 4) Combine like terms: -6 + 4 = -2 -2 + y + 8y = -5(y + 4) Combine like terms: y + 8y = 9y -2 + 9y = -5(y + 4) Reorder the terms: -2 + 9y = -5(4 + y) -2 + 9y = (4 * -5 + y * -5) -2 + 9y = (-20 + -5y) Solving -2 + 9y = -20 + -5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '5y' to each side of the equation. -2 + 9y + 5y = -20 + -5y + 5y Combine like terms: 9y + 5y = 14y -2 + 14y = -20 + -5y + 5y Combine like terms: -5y + 5y = 0 -2 + 14y = -20 + 0 -2 + 14y = -20 Add '2' to each side of the equation. -2 + 2 + 14y = -20 + 2 Combine like terms: -2 + 2 = 0 0 + 14y = -20 + 2 14y = -20 + 2 Combine like terms: -20 + 2 = -18 14y = -18 Divide each side by '14'. y = -1.285714286 Simplifying y = -1.285714286
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