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Simplifying 5y + 52 = -2(y + 6) + 8 Reorder the terms: 52 + 5y = -2(y + 6) + 8 Reorder the terms: 52 + 5y = -2(6 + y) + 8 52 + 5y = (6 * -2 + y * -2) + 8 52 + 5y = (-12 + -2y) + 8 Reorder the terms: 52 + 5y = -12 + 8 + -2y Combine like terms: -12 + 8 = -4 52 + 5y = -4 + -2y Solving 52 + 5y = -4 + -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. 52 + 5y + 2y = -4 + -2y + 2y Combine like terms: 5y + 2y = 7y 52 + 7y = -4 + -2y + 2y Combine like terms: -2y + 2y = 0 52 + 7y = -4 + 0 52 + 7y = -4 Add '-52' to each side of the equation. 52 + -52 + 7y = -4 + -52 Combine like terms: 52 + -52 = 0 0 + 7y = -4 + -52 7y = -4 + -52 Combine like terms: -4 + -52 = -56 7y = -56 Divide each side by '7'. y = -8 Simplifying y = -8
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