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Simplifying 8y + 44 = -2(y + 3) Reorder the terms: 44 + 8y = -2(y + 3) Reorder the terms: 44 + 8y = -2(3 + y) 44 + 8y = (3 * -2 + y * -2) 44 + 8y = (-6 + -2y) Solving 44 + 8y = -6 + -2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '2y' to each side of the equation. 44 + 8y + 2y = -6 + -2y + 2y Combine like terms: 8y + 2y = 10y 44 + 10y = -6 + -2y + 2y Combine like terms: -2y + 2y = 0 44 + 10y = -6 + 0 44 + 10y = -6 Add '-44' to each side of the equation. 44 + -44 + 10y = -6 + -44 Combine like terms: 44 + -44 = 0 0 + 10y = -6 + -44 10y = -6 + -44 Combine like terms: -6 + -44 = -50 10y = -50 Divide each side by '10'. y = -5 Simplifying y = -5
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