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Simplifying 7(y + -4) = 6(y + -2) Reorder the terms: 7(-4 + y) = 6(y + -2) (-4 * 7 + y * 7) = 6(y + -2) (-28 + 7y) = 6(y + -2) Reorder the terms: -28 + 7y = 6(-2 + y) -28 + 7y = (-2 * 6 + y * 6) -28 + 7y = (-12 + 6y) Solving -28 + 7y = -12 + 6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-6y' to each side of the equation. -28 + 7y + -6y = -12 + 6y + -6y Combine like terms: 7y + -6y = 1y -28 + 1y = -12 + 6y + -6y Combine like terms: 6y + -6y = 0 -28 + 1y = -12 + 0 -28 + 1y = -12 Add '28' to each side of the equation. -28 + 28 + 1y = -12 + 28 Combine like terms: -28 + 28 = 0 0 + 1y = -12 + 28 1y = -12 + 28 Combine like terms: -12 + 28 = 16 1y = 16 Divide each side by '1'. y = 16 Simplifying y = 16
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