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Simplifying 5(y + 1) + 7(y + -2) = 0 Reorder the terms: 5(1 + y) + 7(y + -2) = 0 (1 * 5 + y * 5) + 7(y + -2) = 0 (5 + 5y) + 7(y + -2) = 0 Reorder the terms: 5 + 5y + 7(-2 + y) = 0 5 + 5y + (-2 * 7 + y * 7) = 0 5 + 5y + (-14 + 7y) = 0 Reorder the terms: 5 + -14 + 5y + 7y = 0 Combine like terms: 5 + -14 = -9 -9 + 5y + 7y = 0 Combine like terms: 5y + 7y = 12y -9 + 12y = 0 Solving -9 + 12y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + 12y = 0 + 9 Combine like terms: -9 + 9 = 0 0 + 12y = 0 + 9 12y = 0 + 9 Combine like terms: 0 + 9 = 9 12y = 9 Divide each side by '12'. y = 0.75 Simplifying y = 0.75
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