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Simplifying -35 + 7y + 6 = 2(5y + -5) + -7 Reorder the terms: -35 + 6 + 7y = 2(5y + -5) + -7 Combine like terms: -35 + 6 = -29 -29 + 7y = 2(5y + -5) + -7 Reorder the terms: -29 + 7y = 2(-5 + 5y) + -7 -29 + 7y = (-5 * 2 + 5y * 2) + -7 -29 + 7y = (-10 + 10y) + -7 Reorder the terms: -29 + 7y = -10 + -7 + 10y Combine like terms: -10 + -7 = -17 -29 + 7y = -17 + 10y Solving -29 + 7y = -17 + 10y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-10y' to each side of the equation. -29 + 7y + -10y = -17 + 10y + -10y Combine like terms: 7y + -10y = -3y -29 + -3y = -17 + 10y + -10y Combine like terms: 10y + -10y = 0 -29 + -3y = -17 + 0 -29 + -3y = -17 Add '29' to each side of the equation. -29 + 29 + -3y = -17 + 29 Combine like terms: -29 + 29 = 0 0 + -3y = -17 + 29 -3y = -17 + 29 Combine like terms: -17 + 29 = 12 -3y = 12 Divide each side by '-3'. y = -4 Simplifying y = -4
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