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Simplifying 9 + 2(5y + -4) = -4(3y + -1) + 7y Reorder the terms: 9 + 2(-4 + 5y) = -4(3y + -1) + 7y 9 + (-4 * 2 + 5y * 2) = -4(3y + -1) + 7y 9 + (-8 + 10y) = -4(3y + -1) + 7y Combine like terms: 9 + -8 = 1 1 + 10y = -4(3y + -1) + 7y Reorder the terms: 1 + 10y = -4(-1 + 3y) + 7y 1 + 10y = (-1 * -4 + 3y * -4) + 7y 1 + 10y = (4 + -12y) + 7y Combine like terms: -12y + 7y = -5y 1 + 10y = 4 + -5y Solving 1 + 10y = 4 + -5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '5y' to each side of the equation. 1 + 10y + 5y = 4 + -5y + 5y Combine like terms: 10y + 5y = 15y 1 + 15y = 4 + -5y + 5y Combine like terms: -5y + 5y = 0 1 + 15y = 4 + 0 1 + 15y = 4 Add '-1' to each side of the equation. 1 + -1 + 15y = 4 + -1 Combine like terms: 1 + -1 = 0 0 + 15y = 4 + -1 15y = 4 + -1 Combine like terms: 4 + -1 = 3 15y = 3 Divide each side by '15'. y = 0.2 Simplifying y = 0.2
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