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Simplifying 5(y + -1) + -8 = -3(-7y + 5) + -8y Reorder the terms: 5(-1 + y) + -8 = -3(-7y + 5) + -8y (-1 * 5 + y * 5) + -8 = -3(-7y + 5) + -8y (-5 + 5y) + -8 = -3(-7y + 5) + -8y Reorder the terms: -5 + -8 + 5y = -3(-7y + 5) + -8y Combine like terms: -5 + -8 = -13 -13 + 5y = -3(-7y + 5) + -8y Reorder the terms: -13 + 5y = -3(5 + -7y) + -8y -13 + 5y = (5 * -3 + -7y * -3) + -8y -13 + 5y = (-15 + 21y) + -8y Combine like terms: 21y + -8y = 13y -13 + 5y = -15 + 13y Solving -13 + 5y = -15 + 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. -13 + 5y + -13y = -15 + 13y + -13y Combine like terms: 5y + -13y = -8y -13 + -8y = -15 + 13y + -13y Combine like terms: 13y + -13y = 0 -13 + -8y = -15 + 0 -13 + -8y = -15 Add '13' to each side of the equation. -13 + 13 + -8y = -15 + 13 Combine like terms: -13 + 13 = 0 0 + -8y = -15 + 13 -8y = -15 + 13 Combine like terms: -15 + 13 = -2 -8y = -2 Divide each side by '-8'. y = 0.25 Simplifying y = 0.25
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