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Simplifying 3 + -4(-2y + 7) = (4y + -7) + 7 Reorder the terms: 3 + -4(7 + -2y) = (4y + -7) + 7 3 + (7 * -4 + -2y * -4) = (4y + -7) + 7 3 + (-28 + 8y) = (4y + -7) + 7 Combine like terms: 3 + -28 = -25 -25 + 8y = (4y + -7) + 7 Reorder the terms: -25 + 8y = (-7 + 4y) + 7 Remove parenthesis around (-7 + 4y) -25 + 8y = -7 + 4y + 7 Reorder the terms: -25 + 8y = -7 + 7 + 4y Combine like terms: -7 + 7 = 0 -25 + 8y = 0 + 4y -25 + 8y = 4y Solving -25 + 8y = 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. -25 + 8y + -4y = 4y + -4y Combine like terms: 8y + -4y = 4y -25 + 4y = 4y + -4y Combine like terms: 4y + -4y = 0 -25 + 4y = 0 Add '25' to each side of the equation. -25 + 25 + 4y = 0 + 25 Combine like terms: -25 + 25 = 0 0 + 4y = 0 + 25 4y = 0 + 25 Combine like terms: 0 + 25 = 25 4y = 25 Divide each side by '4'. y = 6.25 Simplifying y = 6.25
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