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Simplifying 6y + 44 = -4(y + 4) Reorder the terms: 44 + 6y = -4(y + 4) Reorder the terms: 44 + 6y = -4(4 + y) 44 + 6y = (4 * -4 + y * -4) 44 + 6y = (-16 + -4y) Solving 44 + 6y = -16 + -4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '4y' to each side of the equation. 44 + 6y + 4y = -16 + -4y + 4y Combine like terms: 6y + 4y = 10y 44 + 10y = -16 + -4y + 4y Combine like terms: -4y + 4y = 0 44 + 10y = -16 + 0 44 + 10y = -16 Add '-44' to each side of the equation. 44 + -44 + 10y = -16 + -44 Combine like terms: 44 + -44 = 0 0 + 10y = -16 + -44 10y = -16 + -44 Combine like terms: -16 + -44 = -60 10y = -60 Divide each side by '10'. y = -6 Simplifying y = -6
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