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Simplifying -2(y + 5) + -4 = 6(y + -2) + 2 Reorder the terms: -2(5 + y) + -4 = 6(y + -2) + 2 (5 * -2 + y * -2) + -4 = 6(y + -2) + 2 (-10 + -2y) + -4 = 6(y + -2) + 2 Reorder the terms: -10 + -4 + -2y = 6(y + -2) + 2 Combine like terms: -10 + -4 = -14 -14 + -2y = 6(y + -2) + 2 Reorder the terms: -14 + -2y = 6(-2 + y) + 2 -14 + -2y = (-2 * 6 + y * 6) + 2 -14 + -2y = (-12 + 6y) + 2 Reorder the terms: -14 + -2y = -12 + 2 + 6y Combine like terms: -12 + 2 = -10 -14 + -2y = -10 + 6y Solving -14 + -2y = -10 + 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. -14 + -2y + -6y = -10 + 6y + -6y Combine like terms: -2y + -6y = -8y -14 + -8y = -10 + 6y + -6y Combine like terms: 6y + -6y = 0 -14 + -8y = -10 + 0 -14 + -8y = -10 Add '14' to each side of the equation. -14 + 14 + -8y = -10 + 14 Combine like terms: -14 + 14 = 0 0 + -8y = -10 + 14 -8y = -10 + 14 Combine like terms: -10 + 14 = 4 -8y = 4 Divide each side by '-8'. y = -0.5 Simplifying y = -0.5
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