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Simplifying -51 + 2y + 2 = 3(3y + -5) + -6 Reorder the terms: -51 + 2 + 2y = 3(3y + -5) + -6 Combine like terms: -51 + 2 = -49 -49 + 2y = 3(3y + -5) + -6 Reorder the terms: -49 + 2y = 3(-5 + 3y) + -6 -49 + 2y = (-5 * 3 + 3y * 3) + -6 -49 + 2y = (-15 + 9y) + -6 Reorder the terms: -49 + 2y = -15 + -6 + 9y Combine like terms: -15 + -6 = -21 -49 + 2y = -21 + 9y Solving -49 + 2y = -21 + 9y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-9y' to each side of the equation. -49 + 2y + -9y = -21 + 9y + -9y Combine like terms: 2y + -9y = -7y -49 + -7y = -21 + 9y + -9y Combine like terms: 9y + -9y = 0 -49 + -7y = -21 + 0 -49 + -7y = -21 Add '49' to each side of the equation. -49 + 49 + -7y = -21 + 49 Combine like terms: -49 + 49 = 0 0 + -7y = -21 + 49 -7y = -21 + 49 Combine like terms: -21 + 49 = 28 -7y = 28 Divide each side by '-7'. y = -4 Simplifying y = -4
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