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Simplifying 0.1(2.5y + -6) = 0.4(6y + 7) Reorder the terms: 0.1(-6 + 2.5y) = 0.4(6y + 7) (-6 * 0.1 + 2.5y * 0.1) = 0.4(6y + 7) (-0.6 + 0.25y) = 0.4(6y + 7) Reorder the terms: -0.6 + 0.25y = 0.4(7 + 6y) -0.6 + 0.25y = (7 * 0.4 + 6y * 0.4) -0.6 + 0.25y = (2.8 + 2.4y) Solving -0.6 + 0.25y = 2.8 + 2.4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2.4y' to each side of the equation. -0.6 + 0.25y + -2.4y = 2.8 + 2.4y + -2.4y Combine like terms: 0.25y + -2.4y = -2.15y -0.6 + -2.15y = 2.8 + 2.4y + -2.4y Combine like terms: 2.4y + -2.4y = 0.0 -0.6 + -2.15y = 2.8 + 0.0 -0.6 + -2.15y = 2.8 Add '0.6' to each side of the equation. -0.6 + 0.6 + -2.15y = 2.8 + 0.6 Combine like terms: -0.6 + 0.6 = 0.0 0.0 + -2.15y = 2.8 + 0.6 -2.15y = 2.8 + 0.6 Combine like terms: 2.8 + 0.6 = 3.4 -2.15y = 3.4 Divide each side by '-2.15'. y = -1.581395349 Simplifying y = -1.581395349
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