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