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Simplifying 0.6y + -0.4y + 7 = 3.4y + -15.4 Reorder the terms: 7 + 0.6y + -0.4y = 3.4y + -15.4 Combine like terms: 0.6y + -0.4y = 0.2y 7 + 0.2y = 3.4y + -15.4 Reorder the terms: 7 + 0.2y = -15.4 + 3.4y Solving 7 + 0.2y = -15.4 + 3.4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3.4y' to each side of the equation. 7 + 0.2y + -3.4y = -15.4 + 3.4y + -3.4y Combine like terms: 0.2y + -3.4y = -3.2y 7 + -3.2y = -15.4 + 3.4y + -3.4y Combine like terms: 3.4y + -3.4y = 0.0 7 + -3.2y = -15.4 + 0.0 7 + -3.2y = -15.4 Add '-7' to each side of the equation. 7 + -7 + -3.2y = -15.4 + -7 Combine like terms: 7 + -7 = 0 0 + -3.2y = -15.4 + -7 -3.2y = -15.4 + -7 Combine like terms: -15.4 + -7 = -22.4 -3.2y = -22.4 Divide each side by '-3.2'. y = 7 Simplifying y = 7
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