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Simplifying -6 + -8(-8y + 4) = 4(5y + 4) + -4 Reorder the terms: -6 + -8(4 + -8y) = 4(5y + 4) + -4 -6 + (4 * -8 + -8y * -8) = 4(5y + 4) + -4 -6 + (-32 + 64y) = 4(5y + 4) + -4 Combine like terms: -6 + -32 = -38 -38 + 64y = 4(5y + 4) + -4 Reorder the terms: -38 + 64y = 4(4 + 5y) + -4 -38 + 64y = (4 * 4 + 5y * 4) + -4 -38 + 64y = (16 + 20y) + -4 Reorder the terms: -38 + 64y = 16 + -4 + 20y Combine like terms: 16 + -4 = 12 -38 + 64y = 12 + 20y Solving -38 + 64y = 12 + 20y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-20y' to each side of the equation. -38 + 64y + -20y = 12 + 20y + -20y Combine like terms: 64y + -20y = 44y -38 + 44y = 12 + 20y + -20y Combine like terms: 20y + -20y = 0 -38 + 44y = 12 + 0 -38 + 44y = 12 Add '38' to each side of the equation. -38 + 38 + 44y = 12 + 38 Combine like terms: -38 + 38 = 0 0 + 44y = 12 + 38 44y = 12 + 38 Combine like terms: 12 + 38 = 50 44y = 50 Divide each side by '44'. y = 1.136363636 Simplifying y = 1.136363636
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