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Simplifying 2(y + -2) = 5(y + 6) + -13 Reorder the terms: 2(-2 + y) = 5(y + 6) + -13 (-2 * 2 + y * 2) = 5(y + 6) + -13 (-4 + 2y) = 5(y + 6) + -13 Reorder the terms: -4 + 2y = 5(6 + y) + -13 -4 + 2y = (6 * 5 + y * 5) + -13 -4 + 2y = (30 + 5y) + -13 Reorder the terms: -4 + 2y = 30 + -13 + 5y Combine like terms: 30 + -13 = 17 -4 + 2y = 17 + 5y Solving -4 + 2y = 17 + 5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-5y' to each side of the equation. -4 + 2y + -5y = 17 + 5y + -5y Combine like terms: 2y + -5y = -3y -4 + -3y = 17 + 5y + -5y Combine like terms: 5y + -5y = 0 -4 + -3y = 17 + 0 -4 + -3y = 17 Add '4' to each side of the equation. -4 + 4 + -3y = 17 + 4 Combine like terms: -4 + 4 = 0 0 + -3y = 17 + 4 -3y = 17 + 4 Combine like terms: 17 + 4 = 21 -3y = 21 Divide each side by '-3'. y = -7 Simplifying y = -7
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