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Simplifying 4(5y + -3) + -1(19y + 5) = 0 Reorder the terms: 4(-3 + 5y) + -1(19y + 5) = 0 (-3 * 4 + 5y * 4) + -1(19y + 5) = 0 (-12 + 20y) + -1(19y + 5) = 0 Reorder the terms: -12 + 20y + -1(5 + 19y) = 0 -12 + 20y + (5 * -1 + 19y * -1) = 0 -12 + 20y + (-5 + -19y) = 0 Reorder the terms: -12 + -5 + 20y + -19y = 0 Combine like terms: -12 + -5 = -17 -17 + 20y + -19y = 0 Combine like terms: 20y + -19y = 1y -17 + 1y = 0 Solving -17 + 1y = 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 + 1y = 0 + 17 Combine like terms: -17 + 17 = 0 0 + 1y = 0 + 17 1y = 0 + 17 Combine like terms: 0 + 17 = 17 1y = 17 Divide each side by '1'. y = 17 Simplifying y = 17
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