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Simplifying 8 = -3(5 + 4y) + 2y + -7 8 = (5 * -3 + 4y * -3) + 2y + -7 8 = (-15 + -12y) + 2y + -7 Reorder the terms: 8 = -15 + -7 + -12y + 2y Combine like terms: -15 + -7 = -22 8 = -22 + -12y + 2y Combine like terms: -12y + 2y = -10y 8 = -22 + -10y Solving 8 = -22 + -10y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '10y' to each side of the equation. 8 + 10y = -22 + -10y + 10y Combine like terms: -10y + 10y = 0 8 + 10y = -22 + 0 8 + 10y = -22 Add '-8' to each side of the equation. 8 + -8 + 10y = -22 + -8 Combine like terms: 8 + -8 = 0 0 + 10y = -22 + -8 10y = -22 + -8 Combine like terms: -22 + -8 = -30 10y = -30 Divide each side by '10'. y = -3 Simplifying y = -3
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