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Simplifying -0.6(y + 20) = -2.6(y + 15) Reorder the terms: -0.6(20 + y) = -2.6(y + 15) (20 * -0.6 + y * -0.6) = -2.6(y + 15) (-12 + -0.6y) = -2.6(y + 15) Reorder the terms: -12 + -0.6y = -2.6(15 + y) -12 + -0.6y = (15 * -2.6 + y * -2.6) -12 + -0.6y = (-39 + -2.6y) Solving -12 + -0.6y = -39 + -2.6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '2.6y' to each side of the equation. -12 + -0.6y + 2.6y = -39 + -2.6y + 2.6y Combine like terms: -0.6y + 2.6y = 2y -12 + 2y = -39 + -2.6y + 2.6y Combine like terms: -2.6y + 2.6y = 0.0 -12 + 2y = -39 + 0.0 -12 + 2y = -39 Add '12' to each side of the equation. -12 + 12 + 2y = -39 + 12 Combine like terms: -12 + 12 = 0 0 + 2y = -39 + 12 2y = -39 + 12 Combine like terms: -39 + 12 = -27 2y = -27 Divide each side by '2'. y = -13.5 Simplifying y = -13.5
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