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Simplifying -2(4y + -2) + 7y = 9 + 5(3y + -3) Reorder the terms: -2(-2 + 4y) + 7y = 9 + 5(3y + -3) (-2 * -2 + 4y * -2) + 7y = 9 + 5(3y + -3) (4 + -8y) + 7y = 9 + 5(3y + -3) Combine like terms: -8y + 7y = -1y 4 + -1y = 9 + 5(3y + -3) Reorder the terms: 4 + -1y = 9 + 5(-3 + 3y) 4 + -1y = 9 + (-3 * 5 + 3y * 5) 4 + -1y = 9 + (-15 + 15y) Combine like terms: 9 + -15 = -6 4 + -1y = -6 + 15y Solving 4 + -1y = -6 + 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. 4 + -1y + -15y = -6 + 15y + -15y Combine like terms: -1y + -15y = -16y 4 + -16y = -6 + 15y + -15y Combine like terms: 15y + -15y = 0 4 + -16y = -6 + 0 4 + -16y = -6 Add '-4' to each side of the equation. 4 + -4 + -16y = -6 + -4 Combine like terms: 4 + -4 = 0 0 + -16y = -6 + -4 -16y = -6 + -4 Combine like terms: -6 + -4 = -10 -16y = -10 Divide each side by '-16'. y = 0.625 Simplifying y = 0.625
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