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Simplifying 6(2y + 5) + -2(5y + -7) = 62 Reorder the terms: 6(5 + 2y) + -2(5y + -7) = 62 (5 * 6 + 2y * 6) + -2(5y + -7) = 62 (30 + 12y) + -2(5y + -7) = 62 Reorder the terms: 30 + 12y + -2(-7 + 5y) = 62 30 + 12y + (-7 * -2 + 5y * -2) = 62 30 + 12y + (14 + -10y) = 62 Reorder the terms: 30 + 14 + 12y + -10y = 62 Combine like terms: 30 + 14 = 44 44 + 12y + -10y = 62 Combine like terms: 12y + -10y = 2y 44 + 2y = 62 Solving 44 + 2y = 62 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 = 62 + -44 Combine like terms: 44 + -44 = 0 0 + 2y = 62 + -44 2y = 62 + -44 Combine like terms: 62 + -44 = 18 2y = 18 Divide each side by '2'. y = 9 Simplifying y = 9
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