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Simplifying 2(2y + 1) + -4(2y + -3) = 5 Reorder the terms: 2(1 + 2y) + -4(2y + -3) = 5 (1 * 2 + 2y * 2) + -4(2y + -3) = 5 (2 + 4y) + -4(2y + -3) = 5 Reorder the terms: 2 + 4y + -4(-3 + 2y) = 5 2 + 4y + (-3 * -4 + 2y * -4) = 5 2 + 4y + (12 + -8y) = 5 Reorder the terms: 2 + 12 + 4y + -8y = 5 Combine like terms: 2 + 12 = 14 14 + 4y + -8y = 5 Combine like terms: 4y + -8y = -4y 14 + -4y = 5 Solving 14 + -4y = 5 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 + -4y = 5 + -14 Combine like terms: 14 + -14 = 0 0 + -4y = 5 + -14 -4y = 5 + -14 Combine like terms: 5 + -14 = -9 -4y = -9 Divide each side by '-4'. y = 2.25 Simplifying y = 2.25
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