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Simplifying 5(2y + -6) + -1(4y + -3) = 0 Reorder the terms: 5(-6 + 2y) + -1(4y + -3) = 0 (-6 * 5 + 2y * 5) + -1(4y + -3) = 0 (-30 + 10y) + -1(4y + -3) = 0 Reorder the terms: -30 + 10y + -1(-3 + 4y) = 0 -30 + 10y + (-3 * -1 + 4y * -1) = 0 -30 + 10y + (3 + -4y) = 0 Reorder the terms: -30 + 3 + 10y + -4y = 0 Combine like terms: -30 + 3 = -27 -27 + 10y + -4y = 0 Combine like terms: 10y + -4y = 6y -27 + 6y = 0 Solving -27 + 6y = 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 + 6y = 0 + 27 Combine like terms: -27 + 27 = 0 0 + 6y = 0 + 27 6y = 0 + 27 Combine like terms: 0 + 27 = 27 6y = 27 Divide each side by '6'. y = 4.5 Simplifying y = 4.5
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