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Simplifying -13y + 2.5 = 10(-2y + -3.95) Reorder the terms: 2.5 + -13y = 10(-2y + -3.95) Reorder the terms: 2.5 + -13y = 10(-3.95 + -2y) 2.5 + -13y = (-3.95 * 10 + -2y * 10) 2.5 + -13y = (-39.5 + -20y) Solving 2.5 + -13y = -39.5 + -20y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '20y' to each side of the equation. 2.5 + -13y + 20y = -39.5 + -20y + 20y Combine like terms: -13y + 20y = 7y 2.5 + 7y = -39.5 + -20y + 20y Combine like terms: -20y + 20y = 0 2.5 + 7y = -39.5 + 0 2.5 + 7y = -39.5 Add '-2.5' to each side of the equation. 2.5 + -2.5 + 7y = -39.5 + -2.5 Combine like terms: 2.5 + -2.5 = 0.0 0.0 + 7y = -39.5 + -2.5 7y = -39.5 + -2.5 Combine like terms: -39.5 + -2.5 = -42 7y = -42 Divide each side by '7'. y = -6 Simplifying y = -6
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