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Simplifying -5.3(4y + 6) + -2.6(2y + -5) = 0 Reorder the terms: -5.3(6 + 4y) + -2.6(2y + -5) = 0 (6 * -5.3 + 4y * -5.3) + -2.6(2y + -5) = 0 (-31.8 + -21.2y) + -2.6(2y + -5) = 0 Reorder the terms: -31.8 + -21.2y + -2.6(-5 + 2y) = 0 -31.8 + -21.2y + (-5 * -2.6 + 2y * -2.6) = 0 -31.8 + -21.2y + (13 + -5.2y) = 0 Reorder the terms: -31.8 + 13 + -21.2y + -5.2y = 0 Combine like terms: -31.8 + 13 = -18.8 -18.8 + -21.2y + -5.2y = 0 Combine like terms: -21.2y + -5.2y = -26.4y -18.8 + -26.4y = 0 Solving -18.8 + -26.4y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '18.8' to each side of the equation. -18.8 + 18.8 + -26.4y = 0 + 18.8 Combine like terms: -18.8 + 18.8 = 0.0 0.0 + -26.4y = 0 + 18.8 -26.4y = 0 + 18.8 Combine like terms: 0 + 18.8 = 18.8 -26.4y = 18.8 Divide each side by '-26.4'. y = -0.7121212121 Simplifying y = -0.7121212121
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