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Simplifying 5(2y + -6) + -1(2y + 3) = 0 Reorder the terms: 5(-6 + 2y) + -1(2y + 3) = 0 (-6 * 5 + 2y * 5) + -1(2y + 3) = 0 (-30 + 10y) + -1(2y + 3) = 0 Reorder the terms: -30 + 10y + -1(3 + 2y) = 0 -30 + 10y + (3 * -1 + 2y * -1) = 0 -30 + 10y + (-3 + -2y) = 0 Reorder the terms: -30 + -3 + 10y + -2y = 0 Combine like terms: -30 + -3 = -33 -33 + 10y + -2y = 0 Combine like terms: 10y + -2y = 8y -33 + 8y = 0 Solving -33 + 8y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '33' to each side of the equation. -33 + 33 + 8y = 0 + 33 Combine like terms: -33 + 33 = 0 0 + 8y = 0 + 33 8y = 0 + 33 Combine like terms: 0 + 33 = 33 8y = 33 Divide each side by '8'. y = 4.125 Simplifying y = 4.125
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