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Simplifying 5(2y + -1) + 3(y + -4) = 0 Reorder the terms: 5(-1 + 2y) + 3(y + -4) = 0 (-1 * 5 + 2y * 5) + 3(y + -4) = 0 (-5 + 10y) + 3(y + -4) = 0 Reorder the terms: -5 + 10y + 3(-4 + y) = 0 -5 + 10y + (-4 * 3 + y * 3) = 0 -5 + 10y + (-12 + 3y) = 0 Reorder the terms: -5 + -12 + 10y + 3y = 0 Combine like terms: -5 + -12 = -17 -17 + 10y + 3y = 0 Combine like terms: 10y + 3y = 13y -17 + 13y = 0 Solving -17 + 13y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '17' to each side of the equation. -17 + 17 + 13y = 0 + 17 Combine like terms: -17 + 17 = 0 0 + 13y = 0 + 17 13y = 0 + 17 Combine like terms: 0 + 17 = 17 13y = 17 Divide each side by '13'. y = 1.307692308 Simplifying y = 1.307692308
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