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Simplifying -1(y + -6) + 4 = y + 12 Reorder the terms: -1(-6 + y) + 4 = y + 12 (-6 * -1 + y * -1) + 4 = y + 12 (6 + -1y) + 4 = y + 12 Reorder the terms: 6 + 4 + -1y = y + 12 Combine like terms: 6 + 4 = 10 10 + -1y = y + 12 Reorder the terms: 10 + -1y = 12 + y Solving 10 + -1y = 12 + y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-1y' to each side of the equation. 10 + -1y + -1y = 12 + y + -1y Combine like terms: -1y + -1y = -2y 10 + -2y = 12 + y + -1y Combine like terms: y + -1y = 0 10 + -2y = 12 + 0 10 + -2y = 12 Add '-10' to each side of the equation. 10 + -10 + -2y = 12 + -10 Combine like terms: 10 + -10 = 0 0 + -2y = 12 + -10 -2y = 12 + -10 Combine like terms: 12 + -10 = 2 -2y = 2 Divide each side by '-2'. y = -1 Simplifying y = -1
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