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Simplifying 5(3y + -6) + -1(7y + 7) = 0 Reorder the terms: 5(-6 + 3y) + -1(7y + 7) = 0 (-6 * 5 + 3y * 5) + -1(7y + 7) = 0 (-30 + 15y) + -1(7y + 7) = 0 Reorder the terms: -30 + 15y + -1(7 + 7y) = 0 -30 + 15y + (7 * -1 + 7y * -1) = 0 -30 + 15y + (-7 + -7y) = 0 Reorder the terms: -30 + -7 + 15y + -7y = 0 Combine like terms: -30 + -7 = -37 -37 + 15y + -7y = 0 Combine like terms: 15y + -7y = 8y -37 + 8y = 0 Solving -37 + 8y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '37' to each side of the equation. -37 + 37 + 8y = 0 + 37 Combine like terms: -37 + 37 = 0 0 + 8y = 0 + 37 8y = 0 + 37 Combine like terms: 0 + 37 = 37 8y = 37 Divide each side by '8'. y = 4.625 Simplifying y = 4.625
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