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Simplifying 3(y + -5) + -5 = -5(-3y + 7) + -2y Reorder the terms: 3(-5 + y) + -5 = -5(-3y + 7) + -2y (-5 * 3 + y * 3) + -5 = -5(-3y + 7) + -2y (-15 + 3y) + -5 = -5(-3y + 7) + -2y Reorder the terms: -15 + -5 + 3y = -5(-3y + 7) + -2y Combine like terms: -15 + -5 = -20 -20 + 3y = -5(-3y + 7) + -2y Reorder the terms: -20 + 3y = -5(7 + -3y) + -2y -20 + 3y = (7 * -5 + -3y * -5) + -2y -20 + 3y = (-35 + 15y) + -2y Combine like terms: 15y + -2y = 13y -20 + 3y = -35 + 13y Solving -20 + 3y = -35 + 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. -20 + 3y + -13y = -35 + 13y + -13y Combine like terms: 3y + -13y = -10y -20 + -10y = -35 + 13y + -13y Combine like terms: 13y + -13y = 0 -20 + -10y = -35 + 0 -20 + -10y = -35 Add '20' to each side of the equation. -20 + 20 + -10y = -35 + 20 Combine like terms: -20 + 20 = 0 0 + -10y = -35 + 20 -10y = -35 + 20 Combine like terms: -35 + 20 = -15 -10y = -15 Divide each side by '-10'. y = 1.5 Simplifying y = 1.5
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