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Simplifying -6.3(3y + 6) + -2.7(2y + -4) = 0 Reorder the terms: -6.3(6 + 3y) + -2.7(2y + -4) = 0 (6 * -6.3 + 3y * -6.3) + -2.7(2y + -4) = 0 (-37.8 + -18.9y) + -2.7(2y + -4) = 0 Reorder the terms: -37.8 + -18.9y + -2.7(-4 + 2y) = 0 -37.8 + -18.9y + (-4 * -2.7 + 2y * -2.7) = 0 -37.8 + -18.9y + (10.8 + -5.4y) = 0 Reorder the terms: -37.8 + 10.8 + -18.9y + -5.4y = 0 Combine like terms: -37.8 + 10.8 = -27 -27 + -18.9y + -5.4y = 0 Combine like terms: -18.9y + -5.4y = -24.3y -27 + -24.3y = 0 Solving -27 + -24.3y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '27' to each side of the equation. -27 + 27 + -24.3y = 0 + 27 Combine like terms: -27 + 27 = 0 0 + -24.3y = 0 + 27 -24.3y = 0 + 27 Combine like terms: 0 + 27 = 27 -24.3y = 27 Divide each side by '-24.3'. y = -1.111111111 Simplifying y = -1.111111111
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