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Simplifying 4(8y + 4) + -17 = -2(4y + -8) + 13 Reorder the terms: 4(4 + 8y) + -17 = -2(4y + -8) + 13 (4 * 4 + 8y * 4) + -17 = -2(4y + -8) + 13 (16 + 32y) + -17 = -2(4y + -8) + 13 Reorder the terms: 16 + -17 + 32y = -2(4y + -8) + 13 Combine like terms: 16 + -17 = -1 -1 + 32y = -2(4y + -8) + 13 Reorder the terms: -1 + 32y = -2(-8 + 4y) + 13 -1 + 32y = (-8 * -2 + 4y * -2) + 13 -1 + 32y = (16 + -8y) + 13 Reorder the terms: -1 + 32y = 16 + 13 + -8y Combine like terms: 16 + 13 = 29 -1 + 32y = 29 + -8y Solving -1 + 32y = 29 + -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. -1 + 32y + 8y = 29 + -8y + 8y Combine like terms: 32y + 8y = 40y -1 + 40y = 29 + -8y + 8y Combine like terms: -8y + 8y = 0 -1 + 40y = 29 + 0 -1 + 40y = 29 Add '1' to each side of the equation. -1 + 1 + 40y = 29 + 1 Combine like terms: -1 + 1 = 0 0 + 40y = 29 + 1 40y = 29 + 1 Combine like terms: 29 + 1 = 30 40y = 30 Divide each side by '40'. y = 0.75 Simplifying y = 0.75
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