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Simplifying -6.3(2y + 5) + -2.1(4y + -6) = 0 Reorder the terms: -6.3(5 + 2y) + -2.1(4y + -6) = 0 (5 * -6.3 + 2y * -6.3) + -2.1(4y + -6) = 0 (-31.5 + -12.6y) + -2.1(4y + -6) = 0 Reorder the terms: -31.5 + -12.6y + -2.1(-6 + 4y) = 0 -31.5 + -12.6y + (-6 * -2.1 + 4y * -2.1) = 0 -31.5 + -12.6y + (12.6 + -8.4y) = 0 Reorder the terms: -31.5 + 12.6 + -12.6y + -8.4y = 0 Combine like terms: -31.5 + 12.6 = -18.9 -18.9 + -12.6y + -8.4y = 0 Combine like terms: -12.6y + -8.4y = -21y -18.9 + -21y = 0 Solving -18.9 + -21y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '18.9' to each side of the equation. -18.9 + 18.9 + -21y = 0 + 18.9 Combine like terms: -18.9 + 18.9 = 0.0 0.0 + -21y = 0 + 18.9 -21y = 0 + 18.9 Combine like terms: 0 + 18.9 = 18.9 -21y = 18.9 Divide each side by '-21'. y = -0.9 Simplifying y = -0.9
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