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Simplifying -49 + 3y + 9 = 2(3y + -4) + -8 Reorder the terms: -49 + 9 + 3y = 2(3y + -4) + -8 Combine like terms: -49 + 9 = -40 -40 + 3y = 2(3y + -4) + -8 Reorder the terms: -40 + 3y = 2(-4 + 3y) + -8 -40 + 3y = (-4 * 2 + 3y * 2) + -8 -40 + 3y = (-8 + 6y) + -8 Reorder the terms: -40 + 3y = -8 + -8 + 6y Combine like terms: -8 + -8 = -16 -40 + 3y = -16 + 6y Solving -40 + 3y = -16 + 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. -40 + 3y + -6y = -16 + 6y + -6y Combine like terms: 3y + -6y = -3y -40 + -3y = -16 + 6y + -6y Combine like terms: 6y + -6y = 0 -40 + -3y = -16 + 0 -40 + -3y = -16 Add '40' to each side of the equation. -40 + 40 + -3y = -16 + 40 Combine like terms: -40 + 40 = 0 0 + -3y = -16 + 40 -3y = -16 + 40 Combine like terms: -16 + 40 = 24 -3y = 24 Divide each side by '-3'. y = -8 Simplifying y = -8
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