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Simplifying 4 + -6(6y + -2) = 2y + 4 + -8(1 + -5y) Reorder the terms: 4 + -6(-2 + 6y) = 2y + 4 + -8(1 + -5y) 4 + (-2 * -6 + 6y * -6) = 2y + 4 + -8(1 + -5y) 4 + (12 + -36y) = 2y + 4 + -8(1 + -5y) Combine like terms: 4 + 12 = 16 16 + -36y = 2y + 4 + -8(1 + -5y) 16 + -36y = 2y + 4 + (1 * -8 + -5y * -8) 16 + -36y = 2y + 4 + (-8 + 40y) Reorder the terms: 16 + -36y = 4 + -8 + 2y + 40y Combine like terms: 4 + -8 = -4 16 + -36y = -4 + 2y + 40y Combine like terms: 2y + 40y = 42y 16 + -36y = -4 + 42y Solving 16 + -36y = -4 + 42y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-42y' to each side of the equation. 16 + -36y + -42y = -4 + 42y + -42y Combine like terms: -36y + -42y = -78y 16 + -78y = -4 + 42y + -42y Combine like terms: 42y + -42y = 0 16 + -78y = -4 + 0 16 + -78y = -4 Add '-16' to each side of the equation. 16 + -16 + -78y = -4 + -16 Combine like terms: 16 + -16 = 0 0 + -78y = -4 + -16 -78y = -4 + -16 Combine like terms: -4 + -16 = -20 -78y = -20 Divide each side by '-78'. y = 0.2564102564 Simplifying y = 0.2564102564
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