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Simplifying -55 + 5y + 4 = 2(5y + -2) + -2 Reorder the terms: -55 + 4 + 5y = 2(5y + -2) + -2 Combine like terms: -55 + 4 = -51 -51 + 5y = 2(5y + -2) + -2 Reorder the terms: -51 + 5y = 2(-2 + 5y) + -2 -51 + 5y = (-2 * 2 + 5y * 2) + -2 -51 + 5y = (-4 + 10y) + -2 Reorder the terms: -51 + 5y = -4 + -2 + 10y Combine like terms: -4 + -2 = -6 -51 + 5y = -6 + 10y Solving -51 + 5y = -6 + 10y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-10y' to each side of the equation. -51 + 5y + -10y = -6 + 10y + -10y Combine like terms: 5y + -10y = -5y -51 + -5y = -6 + 10y + -10y Combine like terms: 10y + -10y = 0 -51 + -5y = -6 + 0 -51 + -5y = -6 Add '51' to each side of the equation. -51 + 51 + -5y = -6 + 51 Combine like terms: -51 + 51 = 0 0 + -5y = -6 + 51 -5y = -6 + 51 Combine like terms: -6 + 51 = 45 -5y = 45 Divide each side by '-5'. y = -9 Simplifying y = -9
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