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Simplifying -4(3y + 7) = 4y + -2(3y + -1) Reorder the terms: -4(7 + 3y) = 4y + -2(3y + -1) (7 * -4 + 3y * -4) = 4y + -2(3y + -1) (-28 + -12y) = 4y + -2(3y + -1) Reorder the terms: -28 + -12y = 4y + -2(-1 + 3y) -28 + -12y = 4y + (-1 * -2 + 3y * -2) -28 + -12y = 4y + (2 + -6y) Reorder the terms: -28 + -12y = 2 + 4y + -6y Combine like terms: 4y + -6y = -2y -28 + -12y = 2 + -2y Solving -28 + -12y = 2 + -2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '2y' to each side of the equation. -28 + -12y + 2y = 2 + -2y + 2y Combine like terms: -12y + 2y = -10y -28 + -10y = 2 + -2y + 2y Combine like terms: -2y + 2y = 0 -28 + -10y = 2 + 0 -28 + -10y = 2 Add '28' to each side of the equation. -28 + 28 + -10y = 2 + 28 Combine like terms: -28 + 28 = 0 0 + -10y = 2 + 28 -10y = 2 + 28 Combine like terms: 2 + 28 = 30 -10y = 30 Divide each side by '-10'. y = -3 Simplifying y = -3
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