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Simplifying 3(y + -2) + -4(5y + 6) = 0 Reorder the terms: 3(-2 + y) + -4(5y + 6) = 0 (-2 * 3 + y * 3) + -4(5y + 6) = 0 (-6 + 3y) + -4(5y + 6) = 0 Reorder the terms: -6 + 3y + -4(6 + 5y) = 0 -6 + 3y + (6 * -4 + 5y * -4) = 0 -6 + 3y + (-24 + -20y) = 0 Reorder the terms: -6 + -24 + 3y + -20y = 0 Combine like terms: -6 + -24 = -30 -30 + 3y + -20y = 0 Combine like terms: 3y + -20y = -17y -30 + -17y = 0 Solving -30 + -17y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '30' to each side of the equation. -30 + 30 + -17y = 0 + 30 Combine like terms: -30 + 30 = 0 0 + -17y = 0 + 30 -17y = 0 + 30 Combine like terms: 0 + 30 = 30 -17y = 30 Divide each side by '-17'. y = -1.764705882 Simplifying y = -1.764705882
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