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Simplifying 2.1(3y + 1) + -1.8 = 1.7(7y + -8) + -2.9 Reorder the terms: 2.1(1 + 3y) + -1.8 = 1.7(7y + -8) + -2.9 (1 * 2.1 + 3y * 2.1) + -1.8 = 1.7(7y + -8) + -2.9 (2.1 + 6.3y) + -1.8 = 1.7(7y + -8) + -2.9 Reorder the terms: 2.1 + -1.8 + 6.3y = 1.7(7y + -8) + -2.9 Combine like terms: 2.1 + -1.8 = 0.3 0.3 + 6.3y = 1.7(7y + -8) + -2.9 Reorder the terms: 0.3 + 6.3y = 1.7(-8 + 7y) + -2.9 0.3 + 6.3y = (-8 * 1.7 + 7y * 1.7) + -2.9 0.3 + 6.3y = (-13.6 + 11.9y) + -2.9 Reorder the terms: 0.3 + 6.3y = -13.6 + -2.9 + 11.9y Combine like terms: -13.6 + -2.9 = -16.5 0.3 + 6.3y = -16.5 + 11.9y Solving 0.3 + 6.3y = -16.5 + 11.9y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-11.9y' to each side of the equation. 0.3 + 6.3y + -11.9y = -16.5 + 11.9y + -11.9y Combine like terms: 6.3y + -11.9y = -5.6y 0.3 + -5.6y = -16.5 + 11.9y + -11.9y Combine like terms: 11.9y + -11.9y = 0.0 0.3 + -5.6y = -16.5 + 0.0 0.3 + -5.6y = -16.5 Add '-0.3' to each side of the equation. 0.3 + -0.3 + -5.6y = -16.5 + -0.3 Combine like terms: 0.3 + -0.3 = 0.0 0.0 + -5.6y = -16.5 + -0.3 -5.6y = -16.5 + -0.3 Combine like terms: -16.5 + -0.3 = -16.8 -5.6y = -16.8 Divide each side by '-5.6'. y = 3 Simplifying y = 3
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