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Simplifying 1 + -1 + 10y + -4(y + 5) = -2(3y + -6) + -5(y + -1) + -2y + 6 Reorder the terms: 1 + -1 + 10y + -4(5 + y) = -2(3y + -6) + -5(y + -1) + -2y + 6 1 + -1 + 10y + (5 * -4 + y * -4) = -2(3y + -6) + -5(y + -1) + -2y + 6 1 + -1 + 10y + (-20 + -4y) = -2(3y + -6) + -5(y + -1) + -2y + 6 Reorder the terms: 1 + -1 + -20 + 10y + -4y = -2(3y + -6) + -5(y + -1) + -2y + 6 Combine like terms: 1 + -1 = 0 0 + -20 + 10y + -4y = -2(3y + -6) + -5(y + -1) + -2y + 6 -20 + 10y + -4y = -2(3y + -6) + -5(y + -1) + -2y + 6 Combine like terms: 10y + -4y = 6y -20 + 6y = -2(3y + -6) + -5(y + -1) + -2y + 6 Reorder the terms: -20 + 6y = -2(-6 + 3y) + -5(y + -1) + -2y + 6 -20 + 6y = (-6 * -2 + 3y * -2) + -5(y + -1) + -2y + 6 -20 + 6y = (12 + -6y) + -5(y + -1) + -2y + 6 Reorder the terms: -20 + 6y = 12 + -6y + -5(-1 + y) + -2y + 6 -20 + 6y = 12 + -6y + (-1 * -5 + y * -5) + -2y + 6 -20 + 6y = 12 + -6y + (5 + -5y) + -2y + 6 Reorder the terms: -20 + 6y = 12 + 5 + 6 + -6y + -5y + -2y Combine like terms: 12 + 5 = 17 -20 + 6y = 17 + 6 + -6y + -5y + -2y Combine like terms: 17 + 6 = 23 -20 + 6y = 23 + -6y + -5y + -2y Combine like terms: -6y + -5y = -11y -20 + 6y = 23 + -11y + -2y Combine like terms: -11y + -2y = -13y -20 + 6y = 23 + -13y Solving -20 + 6y = 23 + -13y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '13y' to each side of the equation. -20 + 6y + 13y = 23 + -13y + 13y Combine like terms: 6y + 13y = 19y -20 + 19y = 23 + -13y + 13y Combine like terms: -13y + 13y = 0 -20 + 19y = 23 + 0 -20 + 19y = 23 Add '20' to each side of the equation. -20 + 20 + 19y = 23 + 20 Combine like terms: -20 + 20 = 0 0 + 19y = 23 + 20 19y = 23 + 20 Combine like terms: 23 + 20 = 43 19y = 43 Divide each side by '19'. y = 2.263157895 Simplifying y = 2.263157895
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