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Simplifying 0.5(2y + 4) + -7 = -0.11(18y + -36) Reorder the terms: 0.5(4 + 2y) + -7 = -0.11(18y + -36) (4 * 0.5 + 2y * 0.5) + -7 = -0.11(18y + -36) (2 + 1y) + -7 = -0.11(18y + -36) Reorder the terms: 2 + -7 + 1y = -0.11(18y + -36) Combine like terms: 2 + -7 = -5 -5 + 1y = -0.11(18y + -36) Reorder the terms: -5 + 1y = -0.11(-36 + 18y) -5 + 1y = (-36 * -0.11 + 18y * -0.11) -5 + 1y = (3.96 + -1.98y) Solving -5 + 1y = 3.96 + -1.98y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '1.98y' to each side of the equation. -5 + 1y + 1.98y = 3.96 + -1.98y + 1.98y Combine like terms: 1y + 1.98y = 2.98y -5 + 2.98y = 3.96 + -1.98y + 1.98y Combine like terms: -1.98y + 1.98y = 0.00 -5 + 2.98y = 3.96 + 0.00 -5 + 2.98y = 3.96 Add '5' to each side of the equation. -5 + 5 + 2.98y = 3.96 + 5 Combine like terms: -5 + 5 = 0 0 + 2.98y = 3.96 + 5 2.98y = 3.96 + 5 Combine like terms: 3.96 + 5 = 8.96 2.98y = 8.96 Divide each side by '2.98'. y = 3.006711409 Simplifying y = 3.006711409
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