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Simplifying -4y + 2 = -2(y + 9) Reorder the terms: 2 + -4y = -2(y + 9) Reorder the terms: 2 + -4y = -2(9 + y) 2 + -4y = (9 * -2 + y * -2) 2 + -4y = (-18 + -2y) Solving 2 + -4y = -18 + -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 + -4y + 2y = -18 + -2y + 2y Combine like terms: -4y + 2y = -2y 2 + -2y = -18 + -2y + 2y Combine like terms: -2y + 2y = 0 2 + -2y = -18 + 0 2 + -2y = -18 Add '-2' to each side of the equation. 2 + -2 + -2y = -18 + -2 Combine like terms: 2 + -2 = 0 0 + -2y = -18 + -2 -2y = -18 + -2 Combine like terms: -18 + -2 = -20 -2y = -20 Divide each side by '-2'. y = 10 Simplifying y = 10
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