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Simplifying 8y + -7 = 3(2y + 5) Reorder the terms: -7 + 8y = 3(2y + 5) Reorder the terms: -7 + 8y = 3(5 + 2y) -7 + 8y = (5 * 3 + 2y * 3) -7 + 8y = (15 + 6y) Solving -7 + 8y = 15 + 6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-6y' to each side of the equation. -7 + 8y + -6y = 15 + 6y + -6y Combine like terms: 8y + -6y = 2y -7 + 2y = 15 + 6y + -6y Combine like terms: 6y + -6y = 0 -7 + 2y = 15 + 0 -7 + 2y = 15 Add '7' to each side of the equation. -7 + 7 + 2y = 15 + 7 Combine like terms: -7 + 7 = 0 0 + 2y = 15 + 7 2y = 15 + 7 Combine like terms: 15 + 7 = 22 2y = 22 Divide each side by '2'. y = 11 Simplifying y = 11
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