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Simplifying 2(3y + -2) + -4(2y + -5) = 9 Reorder the terms: 2(-2 + 3y) + -4(2y + -5) = 9 (-2 * 2 + 3y * 2) + -4(2y + -5) = 9 (-4 + 6y) + -4(2y + -5) = 9 Reorder the terms: -4 + 6y + -4(-5 + 2y) = 9 -4 + 6y + (-5 * -4 + 2y * -4) = 9 -4 + 6y + (20 + -8y) = 9 Reorder the terms: -4 + 20 + 6y + -8y = 9 Combine like terms: -4 + 20 = 16 16 + 6y + -8y = 9 Combine like terms: 6y + -8y = -2y 16 + -2y = 9 Solving 16 + -2y = 9 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + -2y = 9 + -16 Combine like terms: 16 + -16 = 0 0 + -2y = 9 + -16 -2y = 9 + -16 Combine like terms: 9 + -16 = -7 -2y = -7 Divide each side by '-2'. y = 3.5 Simplifying y = 3.5
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