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Simplifying -4y + 10 = 0.2(3y + 1) Reorder the terms: 10 + -4y = 0.2(3y + 1) Reorder the terms: 10 + -4y = 0.2(1 + 3y) 10 + -4y = (1 * 0.2 + 3y * 0.2) 10 + -4y = (0.2 + 0.6y) Solving 10 + -4y = 0.2 + 0.6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.6y' to each side of the equation. 10 + -4y + -0.6y = 0.2 + 0.6y + -0.6y Combine like terms: -4y + -0.6y = -4.6y 10 + -4.6y = 0.2 + 0.6y + -0.6y Combine like terms: 0.6y + -0.6y = 0.0 10 + -4.6y = 0.2 + 0.0 10 + -4.6y = 0.2 Add '-10' to each side of the equation. 10 + -10 + -4.6y = 0.2 + -10 Combine like terms: 10 + -10 = 0 0 + -4.6y = 0.2 + -10 -4.6y = 0.2 + -10 Combine like terms: 0.2 + -10 = -9.8 -4.6y = -9.8 Divide each side by '-4.6'. y = 2.130434783 Simplifying y = 2.130434783
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