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Simplifying 2(4y + -4) + -6 = 17 + y Reorder the terms: 2(-4 + 4y) + -6 = 17 + y (-4 * 2 + 4y * 2) + -6 = 17 + y (-8 + 8y) + -6 = 17 + y Reorder the terms: -8 + -6 + 8y = 17 + y Combine like terms: -8 + -6 = -14 -14 + 8y = 17 + y Solving -14 + 8y = 17 + 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. -14 + 8y + -1y = 17 + y + -1y Combine like terms: 8y + -1y = 7y -14 + 7y = 17 + y + -1y Combine like terms: y + -1y = 0 -14 + 7y = 17 + 0 -14 + 7y = 17 Add '14' to each side of the equation. -14 + 14 + 7y = 17 + 14 Combine like terms: -14 + 14 = 0 0 + 7y = 17 + 14 7y = 17 + 14 Combine like terms: 17 + 14 = 31 7y = 31 Divide each side by '7'. y = 4.428571429 Simplifying y = 4.428571429
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