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Simplifying 2(1 + -4y) + 2y = -20 + 2y (1 * 2 + -4y * 2) + 2y = -20 + 2y (2 + -8y) + 2y = -20 + 2y Combine like terms: -8y + 2y = -6y 2 + -6y = -20 + 2y Solving 2 + -6y = -20 + 2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2y' to each side of the equation. 2 + -6y + -2y = -20 + 2y + -2y Combine like terms: -6y + -2y = -8y 2 + -8y = -20 + 2y + -2y Combine like terms: 2y + -2y = 0 2 + -8y = -20 + 0 2 + -8y = -20 Add '-2' to each side of the equation. 2 + -2 + -8y = -20 + -2 Combine like terms: 2 + -2 = 0 0 + -8y = -20 + -2 -8y = -20 + -2 Combine like terms: -20 + -2 = -22 -8y = -22 Divide each side by '-8'. y = 2.75 Simplifying y = 2.75
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