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Simplifying 3(y + -5) + -1 = -3(-5y + 8) + -2y Reorder the terms: 3(-5 + y) + -1 = -3(-5y + 8) + -2y (-5 * 3 + y * 3) + -1 = -3(-5y + 8) + -2y (-15 + 3y) + -1 = -3(-5y + 8) + -2y Reorder the terms: -15 + -1 + 3y = -3(-5y + 8) + -2y Combine like terms: -15 + -1 = -16 -16 + 3y = -3(-5y + 8) + -2y Reorder the terms: -16 + 3y = -3(8 + -5y) + -2y -16 + 3y = (8 * -3 + -5y * -3) + -2y -16 + 3y = (-24 + 15y) + -2y Combine like terms: 15y + -2y = 13y -16 + 3y = -24 + 13y Solving -16 + 3y = -24 + 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. -16 + 3y + -13y = -24 + 13y + -13y Combine like terms: 3y + -13y = -10y -16 + -10y = -24 + 13y + -13y Combine like terms: 13y + -13y = 0 -16 + -10y = -24 + 0 -16 + -10y = -24 Add '16' to each side of the equation. -16 + 16 + -10y = -24 + 16 Combine like terms: -16 + 16 = 0 0 + -10y = -24 + 16 -10y = -24 + 16 Combine like terms: -24 + 16 = -8 -10y = -8 Divide each side by '-10'. y = 0.8 Simplifying y = 0.8
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