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Simplifying -15 + 2y + 2 = 3(3y + -5) + -6 Reorder the terms: -15 + 2 + 2y = 3(3y + -5) + -6 Combine like terms: -15 + 2 = -13 -13 + 2y = 3(3y + -5) + -6 Reorder the terms: -13 + 2y = 3(-5 + 3y) + -6 -13 + 2y = (-5 * 3 + 3y * 3) + -6 -13 + 2y = (-15 + 9y) + -6 Reorder the terms: -13 + 2y = -15 + -6 + 9y Combine like terms: -15 + -6 = -21 -13 + 2y = -21 + 9y Solving -13 + 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. -13 + 2y + -9y = -21 + 9y + -9y Combine like terms: 2y + -9y = -7y -13 + -7y = -21 + 9y + -9y Combine like terms: 9y + -9y = 0 -13 + -7y = -21 + 0 -13 + -7y = -21 Add '13' to each side of the equation. -13 + 13 + -7y = -21 + 13 Combine like terms: -13 + 13 = 0 0 + -7y = -21 + 13 -7y = -21 + 13 Combine like terms: -21 + 13 = -8 -7y = -8 Divide each side by '-7'. y = 1.142857143 Simplifying y = 1.142857143
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