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Simplifying 3(y + -7) + -3y = -1(y + -3) + -17 Reorder the terms: 3(-7 + y) + -3y = -1(y + -3) + -17 (-7 * 3 + y * 3) + -3y = -1(y + -3) + -17 (-21 + 3y) + -3y = -1(y + -3) + -17 Combine like terms: 3y + -3y = 0 -21 + 0 = -1(y + -3) + -17 -21 = -1(y + -3) + -17 Reorder the terms: -21 = -1(-3 + y) + -17 -21 = (-3 * -1 + y * -1) + -17 -21 = (3 + -1y) + -17 Reorder the terms: -21 = 3 + -17 + -1y Combine like terms: 3 + -17 = -14 -21 = -14 + -1y Solving -21 = -14 + -1y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add 'y' to each side of the equation. -21 + y = -14 + -1y + y Combine like terms: -1y + y = 0 -21 + y = -14 + 0 -21 + y = -14 Add '21' to each side of the equation. -21 + 21 + y = -14 + 21 Combine like terms: -21 + 21 = 0 0 + y = -14 + 21 y = -14 + 21 Combine like terms: -14 + 21 = 7 y = 7 Simplifying y = 7
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