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Simplifying -2(6y + -6) + 6y = 9 + 5(2y + -3) Reorder the terms: -2(-6 + 6y) + 6y = 9 + 5(2y + -3) (-6 * -2 + 6y * -2) + 6y = 9 + 5(2y + -3) (12 + -12y) + 6y = 9 + 5(2y + -3) Combine like terms: -12y + 6y = -6y 12 + -6y = 9 + 5(2y + -3) Reorder the terms: 12 + -6y = 9 + 5(-3 + 2y) 12 + -6y = 9 + (-3 * 5 + 2y * 5) 12 + -6y = 9 + (-15 + 10y) Combine like terms: 9 + -15 = -6 12 + -6y = -6 + 10y Solving 12 + -6y = -6 + 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 = -6 + 10y + -10y Combine like terms: -6y + -10y = -16y 12 + -16y = -6 + 10y + -10y Combine like terms: 10y + -10y = 0 12 + -16y = -6 + 0 12 + -16y = -6 Add '-12' to each side of the equation. 12 + -12 + -16y = -6 + -12 Combine like terms: 12 + -12 = 0 0 + -16y = -6 + -12 -16y = -6 + -12 Combine like terms: -6 + -12 = -18 -16y = -18 Divide each side by '-16'. y = 1.125 Simplifying y = 1.125
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