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Simplifying 6(2y + 7) = 14 + -4y Reorder the terms: 6(7 + 2y) = 14 + -4y (7 * 6 + 2y * 6) = 14 + -4y (42 + 12y) = 14 + -4y Solving 42 + 12y = 14 + -4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '4y' to each side of the equation. 42 + 12y + 4y = 14 + -4y + 4y Combine like terms: 12y + 4y = 16y 42 + 16y = 14 + -4y + 4y Combine like terms: -4y + 4y = 0 42 + 16y = 14 + 0 42 + 16y = 14 Add '-42' to each side of the equation. 42 + -42 + 16y = 14 + -42 Combine like terms: 42 + -42 = 0 0 + 16y = 14 + -42 16y = 14 + -42 Combine like terms: 14 + -42 = -28 16y = -28 Divide each side by '16'. y = -1.75 Simplifying y = -1.75
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