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Simplifying -2(-7y + 8) + -6y = 2(y + -4) + -5 Reorder the terms: -2(8 + -7y) + -6y = 2(y + -4) + -5 (8 * -2 + -7y * -2) + -6y = 2(y + -4) + -5 (-16 + 14y) + -6y = 2(y + -4) + -5 Combine like terms: 14y + -6y = 8y -16 + 8y = 2(y + -4) + -5 Reorder the terms: -16 + 8y = 2(-4 + y) + -5 -16 + 8y = (-4 * 2 + y * 2) + -5 -16 + 8y = (-8 + 2y) + -5 Reorder the terms: -16 + 8y = -8 + -5 + 2y Combine like terms: -8 + -5 = -13 -16 + 8y = -13 + 2y Solving -16 + 8y = -13 + 2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2y' to each side of the equation. -16 + 8y + -2y = -13 + 2y + -2y Combine like terms: 8y + -2y = 6y -16 + 6y = -13 + 2y + -2y Combine like terms: 2y + -2y = 0 -16 + 6y = -13 + 0 -16 + 6y = -13 Add '16' to each side of the equation. -16 + 16 + 6y = -13 + 16 Combine like terms: -16 + 16 = 0 0 + 6y = -13 + 16 6y = -13 + 16 Combine like terms: -13 + 16 = 3 6y = 3 Divide each side by '6'. y = 0.5 Simplifying y = 0.5
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