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Simplifying -35 + 6y + 7 = 2(4y + -5) + -4 Reorder the terms: -35 + 7 + 6y = 2(4y + -5) + -4 Combine like terms: -35 + 7 = -28 -28 + 6y = 2(4y + -5) + -4 Reorder the terms: -28 + 6y = 2(-5 + 4y) + -4 -28 + 6y = (-5 * 2 + 4y * 2) + -4 -28 + 6y = (-10 + 8y) + -4 Reorder the terms: -28 + 6y = -10 + -4 + 8y Combine like terms: -10 + -4 = -14 -28 + 6y = -14 + 8y Solving -28 + 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. -28 + 6y + -8y = -14 + 8y + -8y Combine like terms: 6y + -8y = -2y -28 + -2y = -14 + 8y + -8y Combine like terms: 8y + -8y = 0 -28 + -2y = -14 + 0 -28 + -2y = -14 Add '28' to each side of the equation. -28 + 28 + -2y = -14 + 28 Combine like terms: -28 + 28 = 0 0 + -2y = -14 + 28 -2y = -14 + 28 Combine like terms: -14 + 28 = 14 -2y = 14 Divide each side by '-2'. y = -7 Simplifying y = -7
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