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Simplifying 8(6y + 16) = 2 + -1(4 + -2y) Reorder the terms: 8(16 + 6y) = 2 + -1(4 + -2y) (16 * 8 + 6y * 8) = 2 + -1(4 + -2y) (128 + 48y) = 2 + -1(4 + -2y) 128 + 48y = 2 + (4 * -1 + -2y * -1) 128 + 48y = 2 + (-4 + 2y) Combine like terms: 2 + -4 = -2 128 + 48y = -2 + 2y Solving 128 + 48y = -2 + 2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2y' to each side of the equation. 128 + 48y + -2y = -2 + 2y + -2y Combine like terms: 48y + -2y = 46y 128 + 46y = -2 + 2y + -2y Combine like terms: 2y + -2y = 0 128 + 46y = -2 + 0 128 + 46y = -2 Add '-128' to each side of the equation. 128 + -128 + 46y = -2 + -128 Combine like terms: 128 + -128 = 0 0 + 46y = -2 + -128 46y = -2 + -128 Combine like terms: -2 + -128 = -130 46y = -130 Divide each side by '46'. y = -2.826086957 Simplifying y = -2.826086957
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