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Simplifying 2(3y + -1) + 5 = 8y + -7 Reorder the terms: 2(-1 + 3y) + 5 = 8y + -7 (-1 * 2 + 3y * 2) + 5 = 8y + -7 (-2 + 6y) + 5 = 8y + -7 Reorder the terms: -2 + 5 + 6y = 8y + -7 Combine like terms: -2 + 5 = 3 3 + 6y = 8y + -7 Reorder the terms: 3 + 6y = -7 + 8y Solving 3 + 6y = -7 + 8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-8y' to each side of the equation. 3 + 6y + -8y = -7 + 8y + -8y Combine like terms: 6y + -8y = -2y 3 + -2y = -7 + 8y + -8y Combine like terms: 8y + -8y = 0 3 + -2y = -7 + 0 3 + -2y = -7 Add '-3' to each side of the equation. 3 + -3 + -2y = -7 + -3 Combine like terms: 3 + -3 = 0 0 + -2y = -7 + -3 -2y = -7 + -3 Combine like terms: -7 + -3 = -10 -2y = -10 Divide each side by '-2'. y = 5 Simplifying y = 5
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