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Simplifying 0.2(3y + -5) = 0.15(2y + -13) + -0.85 Reorder the terms: 0.2(-5 + 3y) = 0.15(2y + -13) + -0.85 (-5 * 0.2 + 3y * 0.2) = 0.15(2y + -13) + -0.85 (-1 + 0.6y) = 0.15(2y + -13) + -0.85 Reorder the terms: -1 + 0.6y = 0.15(-13 + 2y) + -0.85 -1 + 0.6y = (-13 * 0.15 + 2y * 0.15) + -0.85 -1 + 0.6y = (-1.95 + 0.3y) + -0.85 Reorder the terms: -1 + 0.6y = -1.95 + -0.85 + 0.3y Combine like terms: -1.95 + -0.85 = -2.8 -1 + 0.6y = -2.8 + 0.3y Solving -1 + 0.6y = -2.8 + 0.3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.3y' to each side of the equation. -1 + 0.6y + -0.3y = -2.8 + 0.3y + -0.3y Combine like terms: 0.6y + -0.3y = 0.3y -1 + 0.3y = -2.8 + 0.3y + -0.3y Combine like terms: 0.3y + -0.3y = 0.0 -1 + 0.3y = -2.8 + 0.0 -1 + 0.3y = -2.8 Add '1' to each side of the equation. -1 + 1 + 0.3y = -2.8 + 1 Combine like terms: -1 + 1 = 0 0 + 0.3y = -2.8 + 1 0.3y = -2.8 + 1 Combine like terms: -2.8 + 1 = -1.8 0.3y = -1.8 Divide each side by '0.3'. y = -6 Simplifying y = -6
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