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Simplifying 4(2y + 4) + -5(2y + 4) = 6 Reorder the terms: 4(4 + 2y) + -5(2y + 4) = 6 (4 * 4 + 2y * 4) + -5(2y + 4) = 6 (16 + 8y) + -5(2y + 4) = 6 Reorder the terms: 16 + 8y + -5(4 + 2y) = 6 16 + 8y + (4 * -5 + 2y * -5) = 6 16 + 8y + (-20 + -10y) = 6 Reorder the terms: 16 + -20 + 8y + -10y = 6 Combine like terms: 16 + -20 = -4 -4 + 8y + -10y = 6 Combine like terms: 8y + -10y = -2y -4 + -2y = 6 Solving -4 + -2y = 6 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 = 6 + 4 Combine like terms: -4 + 4 = 0 0 + -2y = 6 + 4 -2y = 6 + 4 Combine like terms: 6 + 4 = 10 -2y = 10 Divide each side by '-2'. y = -5 Simplifying y = -5
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