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Simplifying 1(4y + 3) + -1(-3y + -5) = -4 Reorder the terms: 1(3 + 4y) + -1(-3y + -5) = -4 (3 * 1 + 4y * 1) + -1(-3y + -5) = -4 (3 + 4y) + -1(-3y + -5) = -4 Reorder the terms: 3 + 4y + -1(-5 + -3y) = -4 3 + 4y + (-5 * -1 + -3y * -1) = -4 3 + 4y + (5 + 3y) = -4 Reorder the terms: 3 + 5 + 4y + 3y = -4 Combine like terms: 3 + 5 = 8 8 + 4y + 3y = -4 Combine like terms: 4y + 3y = 7y 8 + 7y = -4 Solving 8 + 7y = -4 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 7y = -4 + -8 Combine like terms: 8 + -8 = 0 0 + 7y = -4 + -8 7y = -4 + -8 Combine like terms: -4 + -8 = -12 7y = -12 Divide each side by '7'. y = -1.714285714 Simplifying y = -1.714285714
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