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Simplifying -6(y + -3y) + 9 = -2(5y + -1Y) + 3 + 19y Combine like terms: y + -3y = -2y -6(-2y) + 9 = -2(5y + -1Y) + 3 + 19y Remove parenthesis around (-2y) -6 * -2y + 9 = -2(5y + -1Y) + 3 + 19y Multiply -6 * -2 12y + 9 = -2(5y + -1Y) + 3 + 19y Reorder the terms: 9 + 12y = -2(5y + -1Y) + 3 + 19y Reorder the terms: 9 + 12y = -2(-1Y + 5y) + 3 + 19y 9 + 12y = (-1Y * -2 + 5y * -2) + 3 + 19y 9 + 12y = (2Y + -10y) + 3 + 19y Reorder the terms: 9 + 12y = 3 + 2Y + -10y + 19y Combine like terms: -10y + 19y = 9y 9 + 12y = 3 + 2Y + 9y Solving 9 + 12y = 3 + 2Y + 9y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-9y' to each side of the equation. 9 + 12y + -9y = 3 + 2Y + 9y + -9y Combine like terms: 12y + -9y = 3y 9 + 3y = 3 + 2Y + 9y + -9y Combine like terms: 9y + -9y = 0 9 + 3y = 3 + 2Y + 0 9 + 3y = 3 + 2Y Add '-9' to each side of the equation. 9 + -9 + 3y = 3 + -9 + 2Y Combine like terms: 9 + -9 = 0 0 + 3y = 3 + -9 + 2Y 3y = 3 + -9 + 2Y Combine like terms: 3 + -9 = -6 3y = -6 + 2Y Divide each side by '3'. y = -2 + 0.6666666667Y Simplifying y = -2 + 0.6666666667Y
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