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Simplifying 3 = -3(5y + 2) + -6(3y + -7) Reorder the terms: 3 = -3(2 + 5y) + -6(3y + -7) 3 = (2 * -3 + 5y * -3) + -6(3y + -7) 3 = (-6 + -15y) + -6(3y + -7) Reorder the terms: 3 = -6 + -15y + -6(-7 + 3y) 3 = -6 + -15y + (-7 * -6 + 3y * -6) 3 = -6 + -15y + (42 + -18y) Reorder the terms: 3 = -6 + 42 + -15y + -18y Combine like terms: -6 + 42 = 36 3 = 36 + -15y + -18y Combine like terms: -15y + -18y = -33y 3 = 36 + -33y Solving 3 = 36 + -33y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '33y' to each side of the equation. 3 + 33y = 36 + -33y + 33y Combine like terms: -33y + 33y = 0 3 + 33y = 36 + 0 3 + 33y = 36 Add '-3' to each side of the equation. 3 + -3 + 33y = 36 + -3 Combine like terms: 3 + -3 = 0 0 + 33y = 36 + -3 33y = 36 + -3 Combine like terms: 36 + -3 = 33 33y = 33 Divide each side by '33'. y = 1 Simplifying y = 1
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