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Simplifying 3(5y + -7) + -2(y + 1) = 0 Reorder the terms: 3(-7 + 5y) + -2(y + 1) = 0 (-7 * 3 + 5y * 3) + -2(y + 1) = 0 (-21 + 15y) + -2(y + 1) = 0 Reorder the terms: -21 + 15y + -2(1 + y) = 0 -21 + 15y + (1 * -2 + y * -2) = 0 -21 + 15y + (-2 + -2y) = 0 Reorder the terms: -21 + -2 + 15y + -2y = 0 Combine like terms: -21 + -2 = -23 -23 + 15y + -2y = 0 Combine like terms: 15y + -2y = 13y -23 + 13y = 0 Solving -23 + 13y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '23' to each side of the equation. -23 + 23 + 13y = 0 + 23 Combine like terms: -23 + 23 = 0 0 + 13y = 0 + 23 13y = 0 + 23 Combine like terms: 0 + 23 = 23 13y = 23 Divide each side by '13'. y = 1.769230769 Simplifying y = 1.769230769
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