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Simplifying 11 + 6(y + -3) = 8y + -4(y + 25) Reorder the terms: 11 + 6(-3 + y) = 8y + -4(y + 25) 11 + (-3 * 6 + y * 6) = 8y + -4(y + 25) 11 + (-18 + 6y) = 8y + -4(y + 25) Combine like terms: 11 + -18 = -7 -7 + 6y = 8y + -4(y + 25) Reorder the terms: -7 + 6y = 8y + -4(25 + y) -7 + 6y = 8y + (25 * -4 + y * -4) -7 + 6y = 8y + (-100 + -4y) Reorder the terms: -7 + 6y = -100 + 8y + -4y Combine like terms: 8y + -4y = 4y -7 + 6y = -100 + 4y Solving -7 + 6y = -100 + 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. -7 + 6y + -4y = -100 + 4y + -4y Combine like terms: 6y + -4y = 2y -7 + 2y = -100 + 4y + -4y Combine like terms: 4y + -4y = 0 -7 + 2y = -100 + 0 -7 + 2y = -100 Add '7' to each side of the equation. -7 + 7 + 2y = -100 + 7 Combine like terms: -7 + 7 = 0 0 + 2y = -100 + 7 2y = -100 + 7 Combine like terms: -100 + 7 = -93 2y = -93 Divide each side by '2'. y = -46.5 Simplifying y = -46.5
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