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Simplifying -35 + 7y + 7 = 3(3y + -2) + -6 Reorder the terms: -35 + 7 + 7y = 3(3y + -2) + -6 Combine like terms: -35 + 7 = -28 -28 + 7y = 3(3y + -2) + -6 Reorder the terms: -28 + 7y = 3(-2 + 3y) + -6 -28 + 7y = (-2 * 3 + 3y * 3) + -6 -28 + 7y = (-6 + 9y) + -6 Reorder the terms: -28 + 7y = -6 + -6 + 9y Combine like terms: -6 + -6 = -12 -28 + 7y = -12 + 9y Solving -28 + 7y = -12 + 9y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-9y' to each side of the equation. -28 + 7y + -9y = -12 + 9y + -9y Combine like terms: 7y + -9y = -2y -28 + -2y = -12 + 9y + -9y Combine like terms: 9y + -9y = 0 -28 + -2y = -12 + 0 -28 + -2y = -12 Add '28' to each side of the equation. -28 + 28 + -2y = -12 + 28 Combine like terms: -28 + 28 = 0 0 + -2y = -12 + 28 -2y = -12 + 28 Combine like terms: -12 + 28 = 16 -2y = 16 Divide each side by '-2'. y = -8 Simplifying y = -8
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