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Simplifying 3(5) + 2y = 0.2(2y + 1) Multiply 3 * 5 15 + 2y = 0.2(2y + 1) Reorder the terms: 15 + 2y = 0.2(1 + 2y) 15 + 2y = (1 * 0.2 + 2y * 0.2) 15 + 2y = (0.2 + 0.4y) Solving 15 + 2y = 0.2 + 0.4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.4y' to each side of the equation. 15 + 2y + -0.4y = 0.2 + 0.4y + -0.4y Combine like terms: 2y + -0.4y = 1.6y 15 + 1.6y = 0.2 + 0.4y + -0.4y Combine like terms: 0.4y + -0.4y = 0.0 15 + 1.6y = 0.2 + 0.0 15 + 1.6y = 0.2 Add '-15' to each side of the equation. 15 + -15 + 1.6y = 0.2 + -15 Combine like terms: 15 + -15 = 0 0 + 1.6y = 0.2 + -15 1.6y = 0.2 + -15 Combine like terms: 0.2 + -15 = -14.8 1.6y = -14.8 Divide each side by '1.6'. y = -9.25 Simplifying y = -9.25
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