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Simplifying 0.4y + 5 = 1.6y + -7 Reorder the terms: 5 + 0.4y = 1.6y + -7 Reorder the terms: 5 + 0.4y = -7 + 1.6y Solving 5 + 0.4y = -7 + 1.6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-1.6y' to each side of the equation. 5 + 0.4y + -1.6y = -7 + 1.6y + -1.6y Combine like terms: 0.4y + -1.6y = -1.2y 5 + -1.2y = -7 + 1.6y + -1.6y Combine like terms: 1.6y + -1.6y = 0.0 5 + -1.2y = -7 + 0.0 5 + -1.2y = -7 Add '-5' to each side of the equation. 5 + -5 + -1.2y = -7 + -5 Combine like terms: 5 + -5 = 0 0 + -1.2y = -7 + -5 -1.2y = -7 + -5 Combine like terms: -7 + -5 = -12 -1.2y = -12 Divide each side by '-1.2'. y = 10 Simplifying y = 10
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