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Simplifying 2(y + -2) + -9 = -3(-3y + 7) + -1y Reorder the terms: 2(-2 + y) + -9 = -3(-3y + 7) + -1y (-2 * 2 + y * 2) + -9 = -3(-3y + 7) + -1y (-4 + 2y) + -9 = -3(-3y + 7) + -1y Reorder the terms: -4 + -9 + 2y = -3(-3y + 7) + -1y Combine like terms: -4 + -9 = -13 -13 + 2y = -3(-3y + 7) + -1y Reorder the terms: -13 + 2y = -3(7 + -3y) + -1y -13 + 2y = (7 * -3 + -3y * -3) + -1y -13 + 2y = (-21 + 9y) + -1y Combine like terms: 9y + -1y = 8y -13 + 2y = -21 + 8y Solving -13 + 2y = -21 + 8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-8y' to each side of the equation. -13 + 2y + -8y = -21 + 8y + -8y Combine like terms: 2y + -8y = -6y -13 + -6y = -21 + 8y + -8y Combine like terms: 8y + -8y = 0 -13 + -6y = -21 + 0 -13 + -6y = -21 Add '13' to each side of the equation. -13 + 13 + -6y = -21 + 13 Combine like terms: -13 + 13 = 0 0 + -6y = -21 + 13 -6y = -21 + 13 Combine like terms: -21 + 13 = -8 -6y = -8 Divide each side by '-6'. y = 1.333333333 Simplifying y = 1.333333333
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