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Simplifying 6(2 + -1y) = 5(2y + -2) (2 * 6 + -1y * 6) = 5(2y + -2) (12 + -6y) = 5(2y + -2) Reorder the terms: 12 + -6y = 5(-2 + 2y) 12 + -6y = (-2 * 5 + 2y * 5) 12 + -6y = (-10 + 10y) Solving 12 + -6y = -10 + 10y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-10y' to each side of the equation. 12 + -6y + -10y = -10 + 10y + -10y Combine like terms: -6y + -10y = -16y 12 + -16y = -10 + 10y + -10y Combine like terms: 10y + -10y = 0 12 + -16y = -10 + 0 12 + -16y = -10 Add '-12' to each side of the equation. 12 + -12 + -16y = -10 + -12 Combine like terms: 12 + -12 = 0 0 + -16y = -10 + -12 -16y = -10 + -12 Combine like terms: -10 + -12 = -22 -16y = -22 Divide each side by '-16'. y = 1.375 Simplifying y = 1.375
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