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Simplifying 16(4y + 8) = -8(9y + 21) Reorder the terms: 16(8 + 4y) = -8(9y + 21) (8 * 16 + 4y * 16) = -8(9y + 21) (128 + 64y) = -8(9y + 21) Reorder the terms: 128 + 64y = -8(21 + 9y) 128 + 64y = (21 * -8 + 9y * -8) 128 + 64y = (-168 + -72y) Solving 128 + 64y = -168 + -72y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '72y' to each side of the equation. 128 + 64y + 72y = -168 + -72y + 72y Combine like terms: 64y + 72y = 136y 128 + 136y = -168 + -72y + 72y Combine like terms: -72y + 72y = 0 128 + 136y = -168 + 0 128 + 136y = -168 Add '-128' to each side of the equation. 128 + -128 + 136y = -168 + -128 Combine like terms: 128 + -128 = 0 0 + 136y = -168 + -128 136y = -168 + -128 Combine like terms: -168 + -128 = -296 136y = -296 Divide each side by '136'. y = -2.176470588 Simplifying y = -2.176470588
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