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Simplifying -4y + 8(7y + -2) = 5 + -4(-4 + -1y) Reorder the terms: -4y + 8(-2 + 7y) = 5 + -4(-4 + -1y) -4y + (-2 * 8 + 7y * 8) = 5 + -4(-4 + -1y) -4y + (-16 + 56y) = 5 + -4(-4 + -1y) Reorder the terms: -16 + -4y + 56y = 5 + -4(-4 + -1y) Combine like terms: -4y + 56y = 52y -16 + 52y = 5 + -4(-4 + -1y) -16 + 52y = 5 + (-4 * -4 + -1y * -4) -16 + 52y = 5 + (16 + 4y) Combine like terms: 5 + 16 = 21 -16 + 52y = 21 + 4y Solving -16 + 52y = 21 + 4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-4y' to each side of the equation. -16 + 52y + -4y = 21 + 4y + -4y Combine like terms: 52y + -4y = 48y -16 + 48y = 21 + 4y + -4y Combine like terms: 4y + -4y = 0 -16 + 48y = 21 + 0 -16 + 48y = 21 Add '16' to each side of the equation. -16 + 16 + 48y = 21 + 16 Combine like terms: -16 + 16 = 0 0 + 48y = 21 + 16 48y = 21 + 16 Combine like terms: 21 + 16 = 37 48y = 37 Divide each side by '48'. y = 0.7708333333 Simplifying y = 0.7708333333
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