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Simplifying -4y + 7 = -3(2y + 1) Reorder the terms: 7 + -4y = -3(2y + 1) Reorder the terms: 7 + -4y = -3(1 + 2y) 7 + -4y = (1 * -3 + 2y * -3) 7 + -4y = (-3 + -6y) Solving 7 + -4y = -3 + -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 + -4y + 6y = -3 + -6y + 6y Combine like terms: -4y + 6y = 2y 7 + 2y = -3 + -6y + 6y Combine like terms: -6y + 6y = 0 7 + 2y = -3 + 0 7 + 2y = -3 Add '-7' to each side of the equation. 7 + -7 + 2y = -3 + -7 Combine like terms: 7 + -7 = 0 0 + 2y = -3 + -7 2y = -3 + -7 Combine like terms: -3 + -7 = -10 2y = -10 Divide each side by '2'. y = -5 Simplifying y = -5
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