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Simplifying -8y + 3(2y + -10) = -55 + 3y Reorder the terms: -8y + 3(-10 + 2y) = -55 + 3y -8y + (-10 * 3 + 2y * 3) = -55 + 3y -8y + (-30 + 6y) = -55 + 3y Reorder the terms: -30 + -8y + 6y = -55 + 3y Combine like terms: -8y + 6y = -2y -30 + -2y = -55 + 3y Solving -30 + -2y = -55 + 3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3y' to each side of the equation. -30 + -2y + -3y = -55 + 3y + -3y Combine like terms: -2y + -3y = -5y -30 + -5y = -55 + 3y + -3y Combine like terms: 3y + -3y = 0 -30 + -5y = -55 + 0 -30 + -5y = -55 Add '30' to each side of the equation. -30 + 30 + -5y = -55 + 30 Combine like terms: -30 + 30 = 0 0 + -5y = -55 + 30 -5y = -55 + 30 Combine like terms: -55 + 30 = -25 -5y = -25 Divide each side by '-5'. y = 5 Simplifying y = 5
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