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Simplifying 2 = -4(-7y + 1) + 5(8 + 2y) Reorder the terms: 2 = -4(1 + -7y) + 5(8 + 2y) 2 = (1 * -4 + -7y * -4) + 5(8 + 2y) 2 = (-4 + 28y) + 5(8 + 2y) 2 = -4 + 28y + (8 * 5 + 2y * 5) 2 = -4 + 28y + (40 + 10y) Reorder the terms: 2 = -4 + 40 + 28y + 10y Combine like terms: -4 + 40 = 36 2 = 36 + 28y + 10y Combine like terms: 28y + 10y = 38y 2 = 36 + 38y Solving 2 = 36 + 38y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-38y' to each side of the equation. 2 + -38y = 36 + 38y + -38y Combine like terms: 38y + -38y = 0 2 + -38y = 36 + 0 2 + -38y = 36 Add '-2' to each side of the equation. 2 + -2 + -38y = 36 + -2 Combine like terms: 2 + -2 = 0 0 + -38y = 36 + -2 -38y = 36 + -2 Combine like terms: 36 + -2 = 34 -38y = 34 Divide each side by '-38'. y = -0.8947368421 Simplifying y = -0.8947368421
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