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Simplifying 12.6 + -2(7.2 + -1y) = 4.9y + -1(6 + -1y) 12.6 + (7.2 * -2 + -1y * -2) = 4.9y + -1(6 + -1y) 12.6 + (-14.4 + 2y) = 4.9y + -1(6 + -1y) Combine like terms: 12.6 + -14.4 = -1.8 -1.8 + 2y = 4.9y + -1(6 + -1y) -1.8 + 2y = 4.9y + (6 * -1 + -1y * -1) -1.8 + 2y = 4.9y + (-6 + 1y) Reorder the terms: -1.8 + 2y = -6 + 4.9y + 1y Combine like terms: 4.9y + 1y = 5.9y -1.8 + 2y = -6 + 5.9y Solving -1.8 + 2y = -6 + 5.9y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-5.9y' to each side of the equation. -1.8 + 2y + -5.9y = -6 + 5.9y + -5.9y Combine like terms: 2y + -5.9y = -3.9y -1.8 + -3.9y = -6 + 5.9y + -5.9y Combine like terms: 5.9y + -5.9y = 0.0 -1.8 + -3.9y = -6 + 0.0 -1.8 + -3.9y = -6 Add '1.8' to each side of the equation. -1.8 + 1.8 + -3.9y = -6 + 1.8 Combine like terms: -1.8 + 1.8 = 0.0 0.0 + -3.9y = -6 + 1.8 -3.9y = -6 + 1.8 Combine like terms: -6 + 1.8 = -4.2 -3.9y = -4.2 Divide each side by '-3.9'. y = 1.076923077 Simplifying y = 1.076923077
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