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Simplifying 6(y + -5) = 2(10 + 13y) Reorder the terms: 6(-5 + y) = 2(10 + 13y) (-5 * 6 + y * 6) = 2(10 + 13y) (-30 + 6y) = 2(10 + 13y) -30 + 6y = (10 * 2 + 13y * 2) -30 + 6y = (20 + 26y) Solving -30 + 6y = 20 + 26y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-26y' to each side of the equation. -30 + 6y + -26y = 20 + 26y + -26y Combine like terms: 6y + -26y = -20y -30 + -20y = 20 + 26y + -26y Combine like terms: 26y + -26y = 0 -30 + -20y = 20 + 0 -30 + -20y = 20 Add '30' to each side of the equation. -30 + 30 + -20y = 20 + 30 Combine like terms: -30 + 30 = 0 0 + -20y = 20 + 30 -20y = 20 + 30 Combine like terms: 20 + 30 = 50 -20y = 50 Divide each side by '-20'. y = -2.5 Simplifying y = -2.5
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