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Simplifying 5(2y + 1) + -3(2y + -4) = 1 Reorder the terms: 5(1 + 2y) + -3(2y + -4) = 1 (1 * 5 + 2y * 5) + -3(2y + -4) = 1 (5 + 10y) + -3(2y + -4) = 1 Reorder the terms: 5 + 10y + -3(-4 + 2y) = 1 5 + 10y + (-4 * -3 + 2y * -3) = 1 5 + 10y + (12 + -6y) = 1 Reorder the terms: 5 + 12 + 10y + -6y = 1 Combine like terms: 5 + 12 = 17 17 + 10y + -6y = 1 Combine like terms: 10y + -6y = 4y 17 + 4y = 1 Solving 17 + 4y = 1 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + 4y = 1 + -17 Combine like terms: 17 + -17 = 0 0 + 4y = 1 + -17 4y = 1 + -17 Combine like terms: 1 + -17 = -16 4y = -16 Divide each side by '4'. y = -4 Simplifying y = -4
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