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Simplifying 2(y + 3) + 5(y + -4) + 7 = 0 Reorder the terms: 2(3 + y) + 5(y + -4) + 7 = 0 (3 * 2 + y * 2) + 5(y + -4) + 7 = 0 (6 + 2y) + 5(y + -4) + 7 = 0 Reorder the terms: 6 + 2y + 5(-4 + y) + 7 = 0 6 + 2y + (-4 * 5 + y * 5) + 7 = 0 6 + 2y + (-20 + 5y) + 7 = 0 Reorder the terms: 6 + -20 + 7 + 2y + 5y = 0 Combine like terms: 6 + -20 = -14 -14 + 7 + 2y + 5y = 0 Combine like terms: -14 + 7 = -7 -7 + 2y + 5y = 0 Combine like terms: 2y + 5y = 7y -7 + 7y = 0 Solving -7 + 7y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 7y = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 7y = 0 + 7 7y = 0 + 7 Combine like terms: 0 + 7 = 7 7y = 7 Divide each side by '7'. y = 1 Simplifying y = 1
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