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Simplifying 0.25(8y + 12) + -5 = -0.11111111(9y + -36) Reorder the terms: 0.25(12 + 8y) + -5 = -0.11111111(9y + -36) (12 * 0.25 + 8y * 0.25) + -5 = -0.11111111(9y + -36) (3 + 2y) + -5 = -0.11111111(9y + -36) Reorder the terms: 3 + -5 + 2y = -0.11111111(9y + -36) Combine like terms: 3 + -5 = -2 -2 + 2y = -0.11111111(9y + -36) Reorder the terms: -2 + 2y = -0.11111111(-36 + 9y) -2 + 2y = (-36 * -0.11111111 + 9y * -0.11111111) -2 + 2y = (3.99999996 + -0.99999999y) Solving -2 + 2y = 3.99999996 + -0.99999999y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '0.99999999y' to each side of the equation. -2 + 2y + 0.99999999y = 3.99999996 + -0.99999999y + 0.99999999y Combine like terms: 2y + 0.99999999y = 2.99999999y -2 + 2.99999999y = 3.99999996 + -0.99999999y + 0.99999999y Combine like terms: -0.99999999y + 0.99999999y = 0.00000000 -2 + 2.99999999y = 3.99999996 + 0.00000000 -2 + 2.99999999y = 3.99999996 Add '2' to each side of the equation. -2 + 2 + 2.99999999y = 3.99999996 + 2 Combine like terms: -2 + 2 = 0 0 + 2.99999999y = 3.99999996 + 2 2.99999999y = 3.99999996 + 2 Combine like terms: 3.99999996 + 2 = 5.99999996 2.99999999y = 5.99999996 Divide each side by '2.99999999'. y = 1.999999993 Simplifying y = 1.999999993
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