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Simplifying 6(2y + 2) + -13 = 3(5y + -5) + -11 Reorder the terms: 6(2 + 2y) + -13 = 3(5y + -5) + -11 (2 * 6 + 2y * 6) + -13 = 3(5y + -5) + -11 (12 + 12y) + -13 = 3(5y + -5) + -11 Reorder the terms: 12 + -13 + 12y = 3(5y + -5) + -11 Combine like terms: 12 + -13 = -1 -1 + 12y = 3(5y + -5) + -11 Reorder the terms: -1 + 12y = 3(-5 + 5y) + -11 -1 + 12y = (-5 * 3 + 5y * 3) + -11 -1 + 12y = (-15 + 15y) + -11 Reorder the terms: -1 + 12y = -15 + -11 + 15y Combine like terms: -15 + -11 = -26 -1 + 12y = -26 + 15y Solving -1 + 12y = -26 + 15y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-15y' to each side of the equation. -1 + 12y + -15y = -26 + 15y + -15y Combine like terms: 12y + -15y = -3y -1 + -3y = -26 + 15y + -15y Combine like terms: 15y + -15y = 0 -1 + -3y = -26 + 0 -1 + -3y = -26 Add '1' to each side of the equation. -1 + 1 + -3y = -26 + 1 Combine like terms: -1 + 1 = 0 0 + -3y = -26 + 1 -3y = -26 + 1 Combine like terms: -26 + 1 = -25 -3y = -25 Divide each side by '-3'. y = 8.333333333 Simplifying y = 8.333333333
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