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Simplifying 2(3y + -3) + 8 = 5y + -7 Reorder the terms: 2(-3 + 3y) + 8 = 5y + -7 (-3 * 2 + 3y * 2) + 8 = 5y + -7 (-6 + 6y) + 8 = 5y + -7 Reorder the terms: -6 + 8 + 6y = 5y + -7 Combine like terms: -6 + 8 = 2 2 + 6y = 5y + -7 Reorder the terms: 2 + 6y = -7 + 5y Solving 2 + 6y = -7 + 5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-5y' to each side of the equation. 2 + 6y + -5y = -7 + 5y + -5y Combine like terms: 6y + -5y = 1y 2 + 1y = -7 + 5y + -5y Combine like terms: 5y + -5y = 0 2 + 1y = -7 + 0 2 + 1y = -7 Add '-2' to each side of the equation. 2 + -2 + 1y = -7 + -2 Combine like terms: 2 + -2 = 0 0 + 1y = -7 + -2 1y = -7 + -2 Combine like terms: -7 + -2 = -9 1y = -9 Divide each side by '1'. y = -9 Simplifying y = -9
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