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Simplifying -4y + 8(-4y + 4) = 7 + -2(1 + -1y) Reorder the terms: -4y + 8(4 + -4y) = 7 + -2(1 + -1y) -4y + (4 * 8 + -4y * 8) = 7 + -2(1 + -1y) -4y + (32 + -32y) = 7 + -2(1 + -1y) Reorder the terms: 32 + -4y + -32y = 7 + -2(1 + -1y) Combine like terms: -4y + -32y = -36y 32 + -36y = 7 + -2(1 + -1y) 32 + -36y = 7 + (1 * -2 + -1y * -2) 32 + -36y = 7 + (-2 + 2y) Combine like terms: 7 + -2 = 5 32 + -36y = 5 + 2y Solving 32 + -36y = 5 + 2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2y' to each side of the equation. 32 + -36y + -2y = 5 + 2y + -2y Combine like terms: -36y + -2y = -38y 32 + -38y = 5 + 2y + -2y Combine like terms: 2y + -2y = 0 32 + -38y = 5 + 0 32 + -38y = 5 Add '-32' to each side of the equation. 32 + -32 + -38y = 5 + -32 Combine like terms: 32 + -32 = 0 0 + -38y = 5 + -32 -38y = 5 + -32 Combine like terms: 5 + -32 = -27 -38y = -27 Divide each side by '-38'. y = 0.7105263158 Simplifying y = 0.7105263158
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