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Simplifying 7(1 + 2y) + -2y = 1 (1 * 7 + 2y * 7) + -2y = 1 (7 + 14y) + -2y = 1 Combine like terms: 14y + -2y = 12y 7 + 12y = 1 Solving 7 + 12y = 1 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 12y = 1 + -7 Combine like terms: 7 + -7 = 0 0 + 12y = 1 + -7 12y = 1 + -7 Combine like terms: 1 + -7 = -6 12y = -6 Divide each side by '12'. y = -0.5 Simplifying y = -0.5
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