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Simplifying 7(y + -2) + 8 = 3(y + -4) + -2 Reorder the terms: 7(-2 + y) + 8 = 3(y + -4) + -2 (-2 * 7 + y * 7) + 8 = 3(y + -4) + -2 (-14 + 7y) + 8 = 3(y + -4) + -2 Reorder the terms: -14 + 8 + 7y = 3(y + -4) + -2 Combine like terms: -14 + 8 = -6 -6 + 7y = 3(y + -4) + -2 Reorder the terms: -6 + 7y = 3(-4 + y) + -2 -6 + 7y = (-4 * 3 + y * 3) + -2 -6 + 7y = (-12 + 3y) + -2 Reorder the terms: -6 + 7y = -12 + -2 + 3y Combine like terms: -12 + -2 = -14 -6 + 7y = -14 + 3y Solving -6 + 7y = -14 + 3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3y' to each side of the equation. -6 + 7y + -3y = -14 + 3y + -3y Combine like terms: 7y + -3y = 4y -6 + 4y = -14 + 3y + -3y Combine like terms: 3y + -3y = 0 -6 + 4y = -14 + 0 -6 + 4y = -14 Add '6' to each side of the equation. -6 + 6 + 4y = -14 + 6 Combine like terms: -6 + 6 = 0 0 + 4y = -14 + 6 4y = -14 + 6 Combine like terms: -14 + 6 = -8 4y = -8 Divide each side by '4'. y = -2 Simplifying y = -2
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