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Simplifying -4y + 8 = 4(2 + -16 + 8y) Reorder the terms: 8 + -4y = 4(2 + -16 + 8y) Combine like terms: 2 + -16 = -14 8 + -4y = 4(-14 + 8y) 8 + -4y = (-14 * 4 + 8y * 4) 8 + -4y = (-56 + 32y) Solving 8 + -4y = -56 + 32y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-32y' to each side of the equation. 8 + -4y + -32y = -56 + 32y + -32y Combine like terms: -4y + -32y = -36y 8 + -36y = -56 + 32y + -32y Combine like terms: 32y + -32y = 0 8 + -36y = -56 + 0 8 + -36y = -56 Add '-8' to each side of the equation. 8 + -8 + -36y = -56 + -8 Combine like terms: 8 + -8 = 0 0 + -36y = -56 + -8 -36y = -56 + -8 Combine like terms: -56 + -8 = -64 -36y = -64 Divide each side by '-36'. y = 1.777777778 Simplifying y = 1.777777778
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