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Simplifying 9 + 2(7y + -5) = -2(4y + -1) + 7y Reorder the terms: 9 + 2(-5 + 7y) = -2(4y + -1) + 7y 9 + (-5 * 2 + 7y * 2) = -2(4y + -1) + 7y 9 + (-10 + 14y) = -2(4y + -1) + 7y Combine like terms: 9 + -10 = -1 -1 + 14y = -2(4y + -1) + 7y Reorder the terms: -1 + 14y = -2(-1 + 4y) + 7y -1 + 14y = (-1 * -2 + 4y * -2) + 7y -1 + 14y = (2 + -8y) + 7y Combine like terms: -8y + 7y = -1y -1 + 14y = 2 + -1y Solving -1 + 14y = 2 + -1y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add 'y' to each side of the equation. -1 + 14y + y = 2 + -1y + y Combine like terms: 14y + y = 15y -1 + 15y = 2 + -1y + y Combine like terms: -1y + y = 0 -1 + 15y = 2 + 0 -1 + 15y = 2 Add '1' to each side of the equation. -1 + 1 + 15y = 2 + 1 Combine like terms: -1 + 1 = 0 0 + 15y = 2 + 1 15y = 2 + 1 Combine like terms: 2 + 1 = 3 15y = 3 Divide each side by '15'. y = 0.2 Simplifying y = 0.2
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