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Simplifying 4y + -1(8y + 12) = 9 + -1(6y + -6) Reorder the terms: 4y + -1(12 + 8y) = 9 + -1(6y + -6) 4y + (12 * -1 + 8y * -1) = 9 + -1(6y + -6) 4y + (-12 + -8y) = 9 + -1(6y + -6) Reorder the terms: -12 + 4y + -8y = 9 + -1(6y + -6) Combine like terms: 4y + -8y = -4y -12 + -4y = 9 + -1(6y + -6) Reorder the terms: -12 + -4y = 9 + -1(-6 + 6y) -12 + -4y = 9 + (-6 * -1 + 6y * -1) -12 + -4y = 9 + (6 + -6y) Combine like terms: 9 + 6 = 15 -12 + -4y = 15 + -6y Solving -12 + -4y = 15 + -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. -12 + -4y + 6y = 15 + -6y + 6y Combine like terms: -4y + 6y = 2y -12 + 2y = 15 + -6y + 6y Combine like terms: -6y + 6y = 0 -12 + 2y = 15 + 0 -12 + 2y = 15 Add '12' to each side of the equation. -12 + 12 + 2y = 15 + 12 Combine like terms: -12 + 12 = 0 0 + 2y = 15 + 12 2y = 15 + 12 Combine like terms: 15 + 12 = 27 2y = 27 Divide each side by '2'. y = 13.5 Simplifying y = 13.5
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