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Simplifying 2(-2y + 1) = 4y + 18 Reorder the terms: 2(1 + -2y) = 4y + 18 (1 * 2 + -2y * 2) = 4y + 18 (2 + -4y) = 4y + 18 Reorder the terms: 2 + -4y = 18 + 4y Solving 2 + -4y = 18 + 4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-4y' to each side of the equation. 2 + -4y + -4y = 18 + 4y + -4y Combine like terms: -4y + -4y = -8y 2 + -8y = 18 + 4y + -4y Combine like terms: 4y + -4y = 0 2 + -8y = 18 + 0 2 + -8y = 18 Add '-2' to each side of the equation. 2 + -2 + -8y = 18 + -2 Combine like terms: 2 + -2 = 0 0 + -8y = 18 + -2 -8y = 18 + -2 Combine like terms: 18 + -2 = 16 -8y = 16 Divide each side by '-8'. y = -2 Simplifying y = -2
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