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Simplifying 8y + 4(4y + -2) + 5 = 45 Reorder the terms: 8y + 4(-2 + 4y) + 5 = 45 8y + (-2 * 4 + 4y * 4) + 5 = 45 8y + (-8 + 16y) + 5 = 45 Reorder the terms: -8 + 5 + 8y + 16y = 45 Combine like terms: -8 + 5 = -3 -3 + 8y + 16y = 45 Combine like terms: 8y + 16y = 24y -3 + 24y = 45 Solving -3 + 24y = 45 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 24y = 45 + 3 Combine like terms: -3 + 3 = 0 0 + 24y = 45 + 3 24y = 45 + 3 Combine like terms: 45 + 3 = 48 24y = 48 Divide each side by '24'. y = 2 Simplifying y = 2
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