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Simplifying -39 + 6y + 5 = 2(4y + -4) + -8 Reorder the terms: -39 + 5 + 6y = 2(4y + -4) + -8 Combine like terms: -39 + 5 = -34 -34 + 6y = 2(4y + -4) + -8 Reorder the terms: -34 + 6y = 2(-4 + 4y) + -8 -34 + 6y = (-4 * 2 + 4y * 2) + -8 -34 + 6y = (-8 + 8y) + -8 Reorder the terms: -34 + 6y = -8 + -8 + 8y Combine like terms: -8 + -8 = -16 -34 + 6y = -16 + 8y Solving -34 + 6y = -16 + 8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-8y' to each side of the equation. -34 + 6y + -8y = -16 + 8y + -8y Combine like terms: 6y + -8y = -2y -34 + -2y = -16 + 8y + -8y Combine like terms: 8y + -8y = 0 -34 + -2y = -16 + 0 -34 + -2y = -16 Add '34' to each side of the equation. -34 + 34 + -2y = -16 + 34 Combine like terms: -34 + 34 = 0 0 + -2y = -16 + 34 -2y = -16 + 34 Combine like terms: -16 + 34 = 18 -2y = 18 Divide each side by '-2'. y = -9 Simplifying y = -9
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