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Simplifying 4(y + 3) = 2(y + -7) Reorder the terms: 4(3 + y) = 2(y + -7) (3 * 4 + y * 4) = 2(y + -7) (12 + 4y) = 2(y + -7) Reorder the terms: 12 + 4y = 2(-7 + y) 12 + 4y = (-7 * 2 + y * 2) 12 + 4y = (-14 + 2y) Solving 12 + 4y = -14 + 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. 12 + 4y + -2y = -14 + 2y + -2y Combine like terms: 4y + -2y = 2y 12 + 2y = -14 + 2y + -2y Combine like terms: 2y + -2y = 0 12 + 2y = -14 + 0 12 + 2y = -14 Add '-12' to each side of the equation. 12 + -12 + 2y = -14 + -12 Combine like terms: 12 + -12 = 0 0 + 2y = -14 + -12 2y = -14 + -12 Combine like terms: -14 + -12 = -26 2y = -26 Divide each side by '2'. y = -13 Simplifying y = -13
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