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Simplifying (2y + -1(3y + -4) + 5y + -6) + 10y = (12 + -12) + 36 Reorder the terms: (2y + -1(-4 + 3y) + 5y + -6) + 10y = (12 + -12) + 36 (2y + (-4 * -1 + 3y * -1) + 5y + -6) + 10y = (12 + -12) + 36 (2y + (4 + -3y) + 5y + -6) + 10y = (12 + -12) + 36 Reorder the terms: (4 + -6 + 2y + -3y + 5y) + 10y = (12 + -12) + 36 Combine like terms: 4 + -6 = -2 (-2 + 2y + -3y + 5y) + 10y = (12 + -12) + 36 Combine like terms: 2y + -3y = -1y (-2 + -1y + 5y) + 10y = (12 + -12) + 36 Combine like terms: -1y + 5y = 4y (-2 + 4y) + 10y = (12 + -12) + 36 Remove parenthesis around (-2 + 4y) -2 + 4y + 10y = (12 + -12) + 36 Combine like terms: 4y + 10y = 14y -2 + 14y = (12 + -12) + 36 Combine like terms: 12 + -12 = 0 -2 + 14y = (0) + 36 -2 + 14y = 0 + 36 Combine like terms: 0 + 36 = 36 -2 + 14y = 36 Solving -2 + 14y = 36 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 14y = 36 + 2 Combine like terms: -2 + 2 = 0 0 + 14y = 36 + 2 14y = 36 + 2 Combine like terms: 36 + 2 = 38 14y = 38 Divide each side by '14'. y = 2.714285714 Simplifying y = 2.714285714
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