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Simplifying 3(y + -7) + -6 = -6(-4y + 2) + -3y Reorder the terms: 3(-7 + y) + -6 = -6(-4y + 2) + -3y (-7 * 3 + y * 3) + -6 = -6(-4y + 2) + -3y (-21 + 3y) + -6 = -6(-4y + 2) + -3y Reorder the terms: -21 + -6 + 3y = -6(-4y + 2) + -3y Combine like terms: -21 + -6 = -27 -27 + 3y = -6(-4y + 2) + -3y Reorder the terms: -27 + 3y = -6(2 + -4y) + -3y -27 + 3y = (2 * -6 + -4y * -6) + -3y -27 + 3y = (-12 + 24y) + -3y Combine like terms: 24y + -3y = 21y -27 + 3y = -12 + 21y Solving -27 + 3y = -12 + 21y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-21y' to each side of the equation. -27 + 3y + -21y = -12 + 21y + -21y Combine like terms: 3y + -21y = -18y -27 + -18y = -12 + 21y + -21y Combine like terms: 21y + -21y = 0 -27 + -18y = -12 + 0 -27 + -18y = -12 Add '27' to each side of the equation. -27 + 27 + -18y = -12 + 27 Combine like terms: -27 + 27 = 0 0 + -18y = -12 + 27 -18y = -12 + 27 Combine like terms: -12 + 27 = 15 -18y = 15 Divide each side by '-18'. y = -0.8333333333 Simplifying y = -0.8333333333
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