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Simplifying 8(y + -2) = 2y + -52 Reorder the terms: 8(-2 + y) = 2y + -52 (-2 * 8 + y * 8) = 2y + -52 (-16 + 8y) = 2y + -52 Reorder the terms: -16 + 8y = -52 + 2y Solving -16 + 8y = -52 + 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. -16 + 8y + -2y = -52 + 2y + -2y Combine like terms: 8y + -2y = 6y -16 + 6y = -52 + 2y + -2y Combine like terms: 2y + -2y = 0 -16 + 6y = -52 + 0 -16 + 6y = -52 Add '16' to each side of the equation. -16 + 16 + 6y = -52 + 16 Combine like terms: -16 + 16 = 0 0 + 6y = -52 + 16 6y = -52 + 16 Combine like terms: -52 + 16 = -36 6y = -36 Divide each side by '6'. y = -6 Simplifying y = -6
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