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Simplifying 6(2y + 5) + -2(5y + -7) = 72 Reorder the terms: 6(5 + 2y) + -2(5y + -7) = 72 (5 * 6 + 2y * 6) + -2(5y + -7) = 72 (30 + 12y) + -2(5y + -7) = 72 Reorder the terms: 30 + 12y + -2(-7 + 5y) = 72 30 + 12y + (-7 * -2 + 5y * -2) = 72 30 + 12y + (14 + -10y) = 72 Reorder the terms: 30 + 14 + 12y + -10y = 72 Combine like terms: 30 + 14 = 44 44 + 12y + -10y = 72 Combine like terms: 12y + -10y = 2y 44 + 2y = 72 Solving 44 + 2y = 72 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-44' to each side of the equation. 44 + -44 + 2y = 72 + -44 Combine like terms: 44 + -44 = 0 0 + 2y = 72 + -44 2y = 72 + -44 Combine like terms: 72 + -44 = 28 2y = 28 Divide each side by '2'. y = 14 Simplifying y = 14
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