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Simplifying 2 + 8(-4y + 4) = (-4y + -1) + 2 Reorder the terms: 2 + 8(4 + -4y) = (-4y + -1) + 2 2 + (4 * 8 + -4y * 8) = (-4y + -1) + 2 2 + (32 + -32y) = (-4y + -1) + 2 Combine like terms: 2 + 32 = 34 34 + -32y = (-4y + -1) + 2 Reorder the terms: 34 + -32y = (-1 + -4y) + 2 Remove parenthesis around (-1 + -4y) 34 + -32y = -1 + -4y + 2 Reorder the terms: 34 + -32y = -1 + 2 + -4y Combine like terms: -1 + 2 = 1 34 + -32y = 1 + -4y Solving 34 + -32y = 1 + -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. 34 + -32y + 4y = 1 + -4y + 4y Combine like terms: -32y + 4y = -28y 34 + -28y = 1 + -4y + 4y Combine like terms: -4y + 4y = 0 34 + -28y = 1 + 0 34 + -28y = 1 Add '-34' to each side of the equation. 34 + -34 + -28y = 1 + -34 Combine like terms: 34 + -34 = 0 0 + -28y = 1 + -34 -28y = 1 + -34 Combine like terms: 1 + -34 = -33 -28y = -33 Divide each side by '-28'. y = 1.178571429 Simplifying y = 1.178571429
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