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Simplifying -2(y + 4) + -7 = 4y + -5 Reorder the terms: -2(4 + y) + -7 = 4y + -5 (4 * -2 + y * -2) + -7 = 4y + -5 (-8 + -2y) + -7 = 4y + -5 Reorder the terms: -8 + -7 + -2y = 4y + -5 Combine like terms: -8 + -7 = -15 -15 + -2y = 4y + -5 Reorder the terms: -15 + -2y = -5 + 4y Solving -15 + -2y = -5 + 4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-4y' to each side of the equation. -15 + -2y + -4y = -5 + 4y + -4y Combine like terms: -2y + -4y = -6y -15 + -6y = -5 + 4y + -4y Combine like terms: 4y + -4y = 0 -15 + -6y = -5 + 0 -15 + -6y = -5 Add '15' to each side of the equation. -15 + 15 + -6y = -5 + 15 Combine like terms: -15 + 15 = 0 0 + -6y = -5 + 15 -6y = -5 + 15 Combine like terms: -5 + 15 = 10 -6y = 10 Divide each side by '-6'. y = -1.666666667 Simplifying y = -1.666666667
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