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Simplifying (-1y + 3.4) + (8.5y + -7) = 7.5y + n Reorder the terms: (3.4 + -1y) + (8.5y + -7) = 7.5y + n Remove parenthesis around (3.4 + -1y) 3.4 + -1y + (8.5y + -7) = 7.5y + n Reorder the terms: 3.4 + -1y + (-7 + 8.5y) = 7.5y + n Remove parenthesis around (-7 + 8.5y) 3.4 + -1y + -7 + 8.5y = 7.5y + n Reorder the terms: 3.4 + -7 + -1y + 8.5y = 7.5y + n Combine like terms: 3.4 + -7 = -3.6 -3.6 + -1y + 8.5y = 7.5y + n Combine like terms: -1y + 8.5y = 7.5y -3.6 + 7.5y = 7.5y + n Reorder the terms: -3.6 + 7.5y = n + 7.5y Add '-7.5y' to each side of the equation. -3.6 + 7.5y + -7.5y = n + 7.5y + -7.5y Combine like terms: 7.5y + -7.5y = 0.0 -3.6 + 0.0 = n + 7.5y + -7.5y -3.6 = n + 7.5y + -7.5y Combine like terms: 7.5y + -7.5y = 0.0 -3.6 = n + 0.0 -3.6 = n Solving -3.6 = n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-1n' to each side of the equation. -3.6 + -1n = n + -1n Combine like terms: n + -1n = 0 -3.6 + -1n = 0 Add '3.6' to each side of the equation. -3.6 + 3.6 + -1n = 0 + 3.6 Combine like terms: -3.6 + 3.6 = 0.0 0.0 + -1n = 0 + 3.6 -1n = 0 + 3.6 Combine like terms: 0 + 3.6 = 3.6 -1n = 3.6 Divide each side by '-1'. n = -3.6 Simplifying n = -3.6
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