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Simplifying 5(2y + 6) + -1(3y + -7) = 0 Reorder the terms: 5(6 + 2y) + -1(3y + -7) = 0 (6 * 5 + 2y * 5) + -1(3y + -7) = 0 (30 + 10y) + -1(3y + -7) = 0 Reorder the terms: 30 + 10y + -1(-7 + 3y) = 0 30 + 10y + (-7 * -1 + 3y * -1) = 0 30 + 10y + (7 + -3y) = 0 Reorder the terms: 30 + 7 + 10y + -3y = 0 Combine like terms: 30 + 7 = 37 37 + 10y + -3y = 0 Combine like terms: 10y + -3y = 7y 37 + 7y = 0 Solving 37 + 7y = 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 + 7y = 0 + -37 Combine like terms: 37 + -37 = 0 0 + 7y = 0 + -37 7y = 0 + -37 Combine like terms: 0 + -37 = -37 7y = -37 Divide each side by '7'. y = -5.285714286 Simplifying y = -5.285714286
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