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Simplifying 3 + 8(2y + 4) = 4(2y + -4) + 2 Reorder the terms: 3 + 8(4 + 2y) = 4(2y + -4) + 2 3 + (4 * 8 + 2y * 8) = 4(2y + -4) + 2 3 + (32 + 16y) = 4(2y + -4) + 2 Combine like terms: 3 + 32 = 35 35 + 16y = 4(2y + -4) + 2 Reorder the terms: 35 + 16y = 4(-4 + 2y) + 2 35 + 16y = (-4 * 4 + 2y * 4) + 2 35 + 16y = (-16 + 8y) + 2 Reorder the terms: 35 + 16y = -16 + 2 + 8y Combine like terms: -16 + 2 = -14 35 + 16y = -14 + 8y Solving 35 + 16y = -14 + 8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-8y' to each side of the equation. 35 + 16y + -8y = -14 + 8y + -8y Combine like terms: 16y + -8y = 8y 35 + 8y = -14 + 8y + -8y Combine like terms: 8y + -8y = 0 35 + 8y = -14 + 0 35 + 8y = -14 Add '-35' to each side of the equation. 35 + -35 + 8y = -14 + -35 Combine like terms: 35 + -35 = 0 0 + 8y = -14 + -35 8y = -14 + -35 Combine like terms: -14 + -35 = -49 8y = -49 Divide each side by '8'. y = -6.125 Simplifying y = -6.125
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