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Simplifying -51 + 47 + 8 = 2(4y + -5) + -9 Combine like terms: -51 + 47 = -4 -4 + 8 = 2(4y + -5) + -9 Combine like terms: -4 + 8 = 4 4 = 2(4y + -5) + -9 Reorder the terms: 4 = 2(-5 + 4y) + -9 4 = (-5 * 2 + 4y * 2) + -9 4 = (-10 + 8y) + -9 Reorder the terms: 4 = -10 + -9 + 8y Combine like terms: -10 + -9 = -19 4 = -19 + 8y Solving 4 = -19 + 8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-8y' to each side of the equation. 4 + -8y = -19 + 8y + -8y Combine like terms: 8y + -8y = 0 4 + -8y = -19 + 0 4 + -8y = -19 Add '-4' to each side of the equation. 4 + -4 + -8y = -19 + -4 Combine like terms: 4 + -4 = 0 0 + -8y = -19 + -4 -8y = -19 + -4 Combine like terms: -19 + -4 = -23 -8y = -23 Divide each side by '-8'. y = 2.875 Simplifying y = 2.875
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