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Simplifying 3(5y + -7) + 2(4y + 7) = 0 Reorder the terms: 3(-7 + 5y) + 2(4y + 7) = 0 (-7 * 3 + 5y * 3) + 2(4y + 7) = 0 (-21 + 15y) + 2(4y + 7) = 0 Reorder the terms: -21 + 15y + 2(7 + 4y) = 0 -21 + 15y + (7 * 2 + 4y * 2) = 0 -21 + 15y + (14 + 8y) = 0 Reorder the terms: -21 + 14 + 15y + 8y = 0 Combine like terms: -21 + 14 = -7 -7 + 15y + 8y = 0 Combine like terms: 15y + 8y = 23y -7 + 23y = 0 Solving -7 + 23y = 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 + 23y = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 23y = 0 + 7 23y = 0 + 7 Combine like terms: 0 + 7 = 7 23y = 7 Divide each side by '23'. y = 0.3043478261 Simplifying y = 0.3043478261
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