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Simplifying -51 + 4y + 8 = 2(4y + -5) + -9 Reorder the terms: -51 + 8 + 4y = 2(4y + -5) + -9 Combine like terms: -51 + 8 = -43 -43 + 4y = 2(4y + -5) + -9 Reorder the terms: -43 + 4y = 2(-5 + 4y) + -9 -43 + 4y = (-5 * 2 + 4y * 2) + -9 -43 + 4y = (-10 + 8y) + -9 Reorder the terms: -43 + 4y = -10 + -9 + 8y Combine like terms: -10 + -9 = -19 -43 + 4y = -19 + 8y Solving -43 + 4y = -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. -43 + 4y + -8y = -19 + 8y + -8y Combine like terms: 4y + -8y = -4y -43 + -4y = -19 + 8y + -8y Combine like terms: 8y + -8y = 0 -43 + -4y = -19 + 0 -43 + -4y = -19 Add '43' to each side of the equation. -43 + 43 + -4y = -19 + 43 Combine like terms: -43 + 43 = 0 0 + -4y = -19 + 43 -4y = -19 + 43 Combine like terms: -19 + 43 = 24 -4y = 24 Divide each side by '-4'. y = -6 Simplifying y = -6
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