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Simplifying 0.40(15y + 10) + -2(4y + 4) = 0 Reorder the terms: 0.40(10 + 15y) + -2(4y + 4) = 0 (10 * 0.40 + 15y * 0.40) + -2(4y + 4) = 0 (4 + 6y) + -2(4y + 4) = 0 Reorder the terms: 4 + 6y + -2(4 + 4y) = 0 4 + 6y + (4 * -2 + 4y * -2) = 0 4 + 6y + (-8 + -8y) = 0 Reorder the terms: 4 + -8 + 6y + -8y = 0 Combine like terms: 4 + -8 = -4 -4 + 6y + -8y = 0 Combine like terms: 6y + -8y = -2y -4 + -2y = 0 Solving -4 + -2y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -2y = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -2y = 0 + 4 -2y = 0 + 4 Combine like terms: 0 + 4 = 4 -2y = 4 Divide each side by '-2'. y = -2 Simplifying y = -2
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