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Simplifying -7(-2y + 7) + -6y = 4(y + -9) + -3 Reorder the terms: -7(7 + -2y) + -6y = 4(y + -9) + -3 (7 * -7 + -2y * -7) + -6y = 4(y + -9) + -3 (-49 + 14y) + -6y = 4(y + -9) + -3 Combine like terms: 14y + -6y = 8y -49 + 8y = 4(y + -9) + -3 Reorder the terms: -49 + 8y = 4(-9 + y) + -3 -49 + 8y = (-9 * 4 + y * 4) + -3 -49 + 8y = (-36 + 4y) + -3 Reorder the terms: -49 + 8y = -36 + -3 + 4y Combine like terms: -36 + -3 = -39 -49 + 8y = -39 + 4y Solving -49 + 8y = -39 + 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. -49 + 8y + -4y = -39 + 4y + -4y Combine like terms: 8y + -4y = 4y -49 + 4y = -39 + 4y + -4y Combine like terms: 4y + -4y = 0 -49 + 4y = -39 + 0 -49 + 4y = -39 Add '49' to each side of the equation. -49 + 49 + 4y = -39 + 49 Combine like terms: -49 + 49 = 0 0 + 4y = -39 + 49 4y = -39 + 49 Combine like terms: -39 + 49 = 10 4y = 10 Divide each side by '4'. y = 2.5 Simplifying y = 2.5
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