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Simplifying 3[2y + -5] = 4y + -7 Reorder the terms: 3[-5 + 2y] = 4y + -7 [-5 * 3 + 2y * 3] = 4y + -7 [-15 + 6y] = 4y + -7 Reorder the terms: -15 + 6y = -7 + 4y Solving -15 + 6y = -7 + 4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-4y' to each side of the equation. -15 + 6y + -4y = -7 + 4y + -4y Combine like terms: 6y + -4y = 2y -15 + 2y = -7 + 4y + -4y Combine like terms: 4y + -4y = 0 -15 + 2y = -7 + 0 -15 + 2y = -7 Add '15' to each side of the equation. -15 + 15 + 2y = -7 + 15 Combine like terms: -15 + 15 = 0 0 + 2y = -7 + 15 2y = -7 + 15 Combine like terms: -7 + 15 = 8 2y = 8 Divide each side by '2'. y = 4 Simplifying y = 4
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