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Simplifying y + -5.5y + -0.7 = -2(y + 6.6) Reorder the terms: -0.7 + y + -5.5y = -2(y + 6.6) Combine like terms: y + -5.5y = -4.5y -0.7 + -4.5y = -2(y + 6.6) Reorder the terms: -0.7 + -4.5y = -2(6.6 + y) -0.7 + -4.5y = (6.6 * -2 + y * -2) -0.7 + -4.5y = (-13.2 + -2y) Solving -0.7 + -4.5y = -13.2 + -2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '2y' to each side of the equation. -0.7 + -4.5y + 2y = -13.2 + -2y + 2y Combine like terms: -4.5y + 2y = -2.5y -0.7 + -2.5y = -13.2 + -2y + 2y Combine like terms: -2y + 2y = 0 -0.7 + -2.5y = -13.2 + 0 -0.7 + -2.5y = -13.2 Add '0.7' to each side of the equation. -0.7 + 0.7 + -2.5y = -13.2 + 0.7 Combine like terms: -0.7 + 0.7 = 0.0 0.0 + -2.5y = -13.2 + 0.7 -2.5y = -13.2 + 0.7 Combine like terms: -13.2 + 0.7 = -12.5 -2.5y = -12.5 Divide each side by '-2.5'. y = 5 Simplifying y = 5
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