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Simplifying 7 + -3(35 + -1y) = 5(y + -4) 7 + (35 * -3 + -1y * -3) = 5(y + -4) 7 + (-105 + 3y) = 5(y + -4) Combine like terms: 7 + -105 = -98 -98 + 3y = 5(y + -4) Reorder the terms: -98 + 3y = 5(-4 + y) -98 + 3y = (-4 * 5 + y * 5) -98 + 3y = (-20 + 5y) Solving -98 + 3y = -20 + 5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-5y' to each side of the equation. -98 + 3y + -5y = -20 + 5y + -5y Combine like terms: 3y + -5y = -2y -98 + -2y = -20 + 5y + -5y Combine like terms: 5y + -5y = 0 -98 + -2y = -20 + 0 -98 + -2y = -20 Add '98' to each side of the equation. -98 + 98 + -2y = -20 + 98 Combine like terms: -98 + 98 = 0 0 + -2y = -20 + 98 -2y = -20 + 98 Combine like terms: -20 + 98 = 78 -2y = 78 Divide each side by '-2'. y = -39 Simplifying y = -39
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