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Simplifying -3y + -2(7y + 2) = 2 + 7(5 + -1y) Reorder the terms: -3y + -2(2 + 7y) = 2 + 7(5 + -1y) -3y + (2 * -2 + 7y * -2) = 2 + 7(5 + -1y) -3y + (-4 + -14y) = 2 + 7(5 + -1y) Reorder the terms: -4 + -3y + -14y = 2 + 7(5 + -1y) Combine like terms: -3y + -14y = -17y -4 + -17y = 2 + 7(5 + -1y) -4 + -17y = 2 + (5 * 7 + -1y * 7) -4 + -17y = 2 + (35 + -7y) Combine like terms: 2 + 35 = 37 -4 + -17y = 37 + -7y Solving -4 + -17y = 37 + -7y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '7y' to each side of the equation. -4 + -17y + 7y = 37 + -7y + 7y Combine like terms: -17y + 7y = -10y -4 + -10y = 37 + -7y + 7y Combine like terms: -7y + 7y = 0 -4 + -10y = 37 + 0 -4 + -10y = 37 Add '4' to each side of the equation. -4 + 4 + -10y = 37 + 4 Combine like terms: -4 + 4 = 0 0 + -10y = 37 + 4 -10y = 37 + 4 Combine like terms: 37 + 4 = 41 -10y = 41 Divide each side by '-10'. y = -4.1 Simplifying y = -4.1
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