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Simplifying -7(y + 4) = 4 + -1(-3 + -7) Reorder the terms: -7(4 + y) = 4 + -1(-3 + -7) (4 * -7 + y * -7) = 4 + -1(-3 + -7) (-28 + -7y) = 4 + -1(-3 + -7) Combine like terms: -3 + -7 = -10 -28 + -7y = 4 + -1(-10) Multiply -1 * -10 -28 + -7y = 4 + 10 Combine like terms: 4 + 10 = 14 -28 + -7y = 14 Solving -28 + -7y = 14 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '28' to each side of the equation. -28 + 28 + -7y = 14 + 28 Combine like terms: -28 + 28 = 0 0 + -7y = 14 + 28 -7y = 14 + 28 Combine like terms: 14 + 28 = 42 -7y = 42 Divide each side by '-7'. y = -6 Simplifying y = -6
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