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Simplifying 12y + 6 = 6(-2y + 1) Reorder the terms: 6 + 12y = 6(-2y + 1) Reorder the terms: 6 + 12y = 6(1 + -2y) 6 + 12y = (1 * 6 + -2y * 6) 6 + 12y = (6 + -12y) Add '-6' to each side of the equation. 6 + -6 + 12y = 6 + -6 + -12y Combine like terms: 6 + -6 = 0 0 + 12y = 6 + -6 + -12y 12y = 6 + -6 + -12y Combine like terms: 6 + -6 = 0 12y = 0 + -12y 12y = -12y Solving 12y = -12y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '12y' to each side of the equation. 12y + 12y = -12y + 12y Combine like terms: 12y + 12y = 24y 24y = -12y + 12y Combine like terms: -12y + 12y = 0 24y = 0 Divide each side by '24'. y = 0 Simplifying y = 0
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