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Simplifying 7.6(y + -19) + -24.8 = 3.9(3y + -4.2) Reorder the terms: 7.6(-19 + y) + -24.8 = 3.9(3y + -4.2) (-19 * 7.6 + y * 7.6) + -24.8 = 3.9(3y + -4.2) (-144.4 + 7.6y) + -24.8 = 3.9(3y + -4.2) Reorder the terms: -144.4 + -24.8 + 7.6y = 3.9(3y + -4.2) Combine like terms: -144.4 + -24.8 = -169.2 -169.2 + 7.6y = 3.9(3y + -4.2) Reorder the terms: -169.2 + 7.6y = 3.9(-4.2 + 3y) -169.2 + 7.6y = (-4.2 * 3.9 + 3y * 3.9) -169.2 + 7.6y = (-16.38 + 11.7y) Solving -169.2 + 7.6y = -16.38 + 11.7y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-11.7y' to each side of the equation. -169.2 + 7.6y + -11.7y = -16.38 + 11.7y + -11.7y Combine like terms: 7.6y + -11.7y = -4.1y -169.2 + -4.1y = -16.38 + 11.7y + -11.7y Combine like terms: 11.7y + -11.7y = 0.0 -169.2 + -4.1y = -16.38 + 0.0 -169.2 + -4.1y = -16.38 Add '169.2' to each side of the equation. -169.2 + 169.2 + -4.1y = -16.38 + 169.2 Combine like terms: -169.2 + 169.2 = 0.0 0.0 + -4.1y = -16.38 + 169.2 -4.1y = -16.38 + 169.2 Combine like terms: -16.38 + 169.2 = 152.82 -4.1y = 152.82 Divide each side by '-4.1'. y = -37.27317073 Simplifying y = -37.27317073
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