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Simplifying -54 + 15y + 3 = 6(3y + -4) + -9 Reorder the terms: -54 + 3 + 15y = 6(3y + -4) + -9 Combine like terms: -54 + 3 = -51 -51 + 15y = 6(3y + -4) + -9 Reorder the terms: -51 + 15y = 6(-4 + 3y) + -9 -51 + 15y = (-4 * 6 + 3y * 6) + -9 -51 + 15y = (-24 + 18y) + -9 Reorder the terms: -51 + 15y = -24 + -9 + 18y Combine like terms: -24 + -9 = -33 -51 + 15y = -33 + 18y Solving -51 + 15y = -33 + 18y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-18y' to each side of the equation. -51 + 15y + -18y = -33 + 18y + -18y Combine like terms: 15y + -18y = -3y -51 + -3y = -33 + 18y + -18y Combine like terms: 18y + -18y = 0 -51 + -3y = -33 + 0 -51 + -3y = -33 Add '51' to each side of the equation. -51 + 51 + -3y = -33 + 51 Combine like terms: -51 + 51 = 0 0 + -3y = -33 + 51 -3y = -33 + 51 Combine like terms: -33 + 51 = 18 -3y = 18 Divide each side by '-3'. y = -6 Simplifying y = -6
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