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Simplifying 3(y + -2) + -6 = -7(-4y + 2) + -7y Reorder the terms: 3(-2 + y) + -6 = -7(-4y + 2) + -7y (-2 * 3 + y * 3) + -6 = -7(-4y + 2) + -7y (-6 + 3y) + -6 = -7(-4y + 2) + -7y Reorder the terms: -6 + -6 + 3y = -7(-4y + 2) + -7y Combine like terms: -6 + -6 = -12 -12 + 3y = -7(-4y + 2) + -7y Reorder the terms: -12 + 3y = -7(2 + -4y) + -7y -12 + 3y = (2 * -7 + -4y * -7) + -7y -12 + 3y = (-14 + 28y) + -7y Combine like terms: 28y + -7y = 21y -12 + 3y = -14 + 21y Solving -12 + 3y = -14 + 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. -12 + 3y + -21y = -14 + 21y + -21y Combine like terms: 3y + -21y = -18y -12 + -18y = -14 + 21y + -21y Combine like terms: 21y + -21y = 0 -12 + -18y = -14 + 0 -12 + -18y = -14 Add '12' to each side of the equation. -12 + 12 + -18y = -14 + 12 Combine like terms: -12 + 12 = 0 0 + -18y = -14 + 12 -18y = -14 + 12 Combine like terms: -14 + 12 = -2 -18y = -2 Divide each side by '-18'. y = 0.1111111111 Simplifying y = 0.1111111111
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