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Simplifying -2 = -4(-1y + 1) + 5(8 + 2y) Reorder the terms: -2 = -4(1 + -1y) + 5(8 + 2y) -2 = (1 * -4 + -1y * -4) + 5(8 + 2y) -2 = (-4 + 4y) + 5(8 + 2y) -2 = -4 + 4y + (8 * 5 + 2y * 5) -2 = -4 + 4y + (40 + 10y) Reorder the terms: -2 = -4 + 40 + 4y + 10y Combine like terms: -4 + 40 = 36 -2 = 36 + 4y + 10y Combine like terms: 4y + 10y = 14y -2 = 36 + 14y Solving -2 = 36 + 14y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-14y' to each side of the equation. -2 + -14y = 36 + 14y + -14y Combine like terms: 14y + -14y = 0 -2 + -14y = 36 + 0 -2 + -14y = 36 Add '2' to each side of the equation. -2 + 2 + -14y = 36 + 2 Combine like terms: -2 + 2 = 0 0 + -14y = 36 + 2 -14y = 36 + 2 Combine like terms: 36 + 2 = 38 -14y = 38 Divide each side by '-14'. y = -2.714285714 Simplifying y = -2.714285714
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