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Simplifying 2y + -1[5y + (6 + -1y)] = 12 Remove parenthesis around (6 + -1y) 2y + -1[5y + 6 + -1y] = 12 Reorder the terms: 2y + -1[6 + 5y + -1y] = 12 Combine like terms: 5y + -1y = 4y 2y + -1[6 + 4y] = 12 2y + [6 * -1 + 4y * -1] = 12 2y + [-6 + -4y] = 12 Reorder the terms: -6 + 2y + -4y = 12 Combine like terms: 2y + -4y = -2y -6 + -2y = 12 Solving -6 + -2y = 12 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + -2y = 12 + 6 Combine like terms: -6 + 6 = 0 0 + -2y = 12 + 6 -2y = 12 + 6 Combine like terms: 12 + 6 = 18 -2y = 18 Divide each side by '-2'. y = -9 Simplifying y = -9
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