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Simplifying -3(2y + -7) + 4 = -2(4y + 8) Reorder the terms: -3(-7 + 2y) + 4 = -2(4y + 8) (-7 * -3 + 2y * -3) + 4 = -2(4y + 8) (21 + -6y) + 4 = -2(4y + 8) Reorder the terms: 21 + 4 + -6y = -2(4y + 8) Combine like terms: 21 + 4 = 25 25 + -6y = -2(4y + 8) Reorder the terms: 25 + -6y = -2(8 + 4y) 25 + -6y = (8 * -2 + 4y * -2) 25 + -6y = (-16 + -8y) Solving 25 + -6y = -16 + -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. 25 + -6y + 8y = -16 + -8y + 8y Combine like terms: -6y + 8y = 2y 25 + 2y = -16 + -8y + 8y Combine like terms: -8y + 8y = 0 25 + 2y = -16 + 0 25 + 2y = -16 Add '-25' to each side of the equation. 25 + -25 + 2y = -16 + -25 Combine like terms: 25 + -25 = 0 0 + 2y = -16 + -25 2y = -16 + -25 Combine like terms: -16 + -25 = -41 2y = -41 Divide each side by '2'. y = -20.5 Simplifying y = -20.5
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