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Simplifying -39 + 6y + 7 = 2(4y + -5) + -4 Reorder the terms: -39 + 7 + 6y = 2(4y + -5) + -4 Combine like terms: -39 + 7 = -32 -32 + 6y = 2(4y + -5) + -4 Reorder the terms: -32 + 6y = 2(-5 + 4y) + -4 -32 + 6y = (-5 * 2 + 4y * 2) + -4 -32 + 6y = (-10 + 8y) + -4 Reorder the terms: -32 + 6y = -10 + -4 + 8y Combine like terms: -10 + -4 = -14 -32 + 6y = -14 + 8y Solving -32 + 6y = -14 + 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. -32 + 6y + -8y = -14 + 8y + -8y Combine like terms: 6y + -8y = -2y -32 + -2y = -14 + 8y + -8y Combine like terms: 8y + -8y = 0 -32 + -2y = -14 + 0 -32 + -2y = -14 Add '32' to each side of the equation. -32 + 32 + -2y = -14 + 32 Combine like terms: -32 + 32 = 0 0 + -2y = -14 + 32 -2y = -14 + 32 Combine like terms: -14 + 32 = 18 -2y = 18 Divide each side by '-2'. y = -9 Simplifying y = -9
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