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Simplifying -27 + 6y + 6 = 2(4y + -2) + -7 Reorder the terms: -27 + 6 + 6y = 2(4y + -2) + -7 Combine like terms: -27 + 6 = -21 -21 + 6y = 2(4y + -2) + -7 Reorder the terms: -21 + 6y = 2(-2 + 4y) + -7 -21 + 6y = (-2 * 2 + 4y * 2) + -7 -21 + 6y = (-4 + 8y) + -7 Reorder the terms: -21 + 6y = -4 + -7 + 8y Combine like terms: -4 + -7 = -11 -21 + 6y = -11 + 8y Solving -21 + 6y = -11 + 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. -21 + 6y + -8y = -11 + 8y + -8y Combine like terms: 6y + -8y = -2y -21 + -2y = -11 + 8y + -8y Combine like terms: 8y + -8y = 0 -21 + -2y = -11 + 0 -21 + -2y = -11 Add '21' to each side of the equation. -21 + 21 + -2y = -11 + 21 Combine like terms: -21 + 21 = 0 0 + -2y = -11 + 21 -2y = -11 + 21 Combine like terms: -11 + 21 = 10 -2y = 10 Divide each side by '-2'. y = -5 Simplifying y = -5
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