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Simplifying 2(y + -5) + -4(1 + -2y) = 16 Reorder the terms: 2(-5 + y) + -4(1 + -2y) = 16 (-5 * 2 + y * 2) + -4(1 + -2y) = 16 (-10 + 2y) + -4(1 + -2y) = 16 -10 + 2y + (1 * -4 + -2y * -4) = 16 -10 + 2y + (-4 + 8y) = 16 Reorder the terms: -10 + -4 + 2y + 8y = 16 Combine like terms: -10 + -4 = -14 -14 + 2y + 8y = 16 Combine like terms: 2y + 8y = 10y -14 + 10y = 16 Solving -14 + 10y = 16 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + 10y = 16 + 14 Combine like terms: -14 + 14 = 0 0 + 10y = 16 + 14 10y = 16 + 14 Combine like terms: 16 + 14 = 30 10y = 30 Divide each side by '10'. y = 3 Simplifying y = 3
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