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Simplifying 6(2y + -1) + -1y = -1(6 + y) Reorder the terms: 6(-1 + 2y) + -1y = -1(6 + y) (-1 * 6 + 2y * 6) + -1y = -1(6 + y) (-6 + 12y) + -1y = -1(6 + y) Combine like terms: 12y + -1y = 11y -6 + 11y = -1(6 + y) -6 + 11y = (6 * -1 + y * -1) -6 + 11y = (-6 + -1y) Add '6' to each side of the equation. -6 + 6 + 11y = -6 + 6 + -1y Combine like terms: -6 + 6 = 0 0 + 11y = -6 + 6 + -1y 11y = -6 + 6 + -1y Combine like terms: -6 + 6 = 0 11y = 0 + -1y 11y = -1y Solving 11y = -1y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add 'y' to each side of the equation. 11y + y = -1y + y Combine like terms: 11y + y = 12y 12y = -1y + y Combine like terms: -1y + y = 0 12y = 0 Divide each side by '12'. y = 0 Simplifying y = 0
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