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Simplifying 5(y + -3) + -2 = -5(-3y + 1) + -2y Reorder the terms: 5(-3 + y) + -2 = -5(-3y + 1) + -2y (-3 * 5 + y * 5) + -2 = -5(-3y + 1) + -2y (-15 + 5y) + -2 = -5(-3y + 1) + -2y Reorder the terms: -15 + -2 + 5y = -5(-3y + 1) + -2y Combine like terms: -15 + -2 = -17 -17 + 5y = -5(-3y + 1) + -2y Reorder the terms: -17 + 5y = -5(1 + -3y) + -2y -17 + 5y = (1 * -5 + -3y * -5) + -2y -17 + 5y = (-5 + 15y) + -2y Combine like terms: 15y + -2y = 13y -17 + 5y = -5 + 13y Solving -17 + 5y = -5 + 13y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-13y' to each side of the equation. -17 + 5y + -13y = -5 + 13y + -13y Combine like terms: 5y + -13y = -8y -17 + -8y = -5 + 13y + -13y Combine like terms: 13y + -13y = 0 -17 + -8y = -5 + 0 -17 + -8y = -5 Add '17' to each side of the equation. -17 + 17 + -8y = -5 + 17 Combine like terms: -17 + 17 = 0 0 + -8y = -5 + 17 -8y = -5 + 17 Combine like terms: -5 + 17 = 12 -8y = 12 Divide each side by '-8'. y = -1.5 Simplifying y = -1.5
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