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Simplifying 4(2y + -1) + -1(2y) = 2 Reorder the terms: 4(-1 + 2y) + -1(2y) = 2 (-1 * 4 + 2y * 4) + -1(2y) = 2 (-4 + 8y) + -1(2y) = 2 Remove parenthesis around (2y) -4 + 8y + -1 * 2y = 2 Multiply -1 * 2 -4 + 8y + -2y = 2 Combine like terms: 8y + -2y = 6y -4 + 6y = 2 Solving -4 + 6y = 2 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 + 6y = 2 + 4 Combine like terms: -4 + 4 = 0 0 + 6y = 2 + 4 6y = 2 + 4 Combine like terms: 2 + 4 = 6 6y = 6 Divide each side by '6'. y = 1 Simplifying y = 1
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