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Simplifying -9y + 14 = -7(y + -4) Reorder the terms: 14 + -9y = -7(y + -4) Reorder the terms: 14 + -9y = -7(-4 + y) 14 + -9y = (-4 * -7 + y * -7) 14 + -9y = (28 + -7y) Solving 14 + -9y = 28 + -7y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '7y' to each side of the equation. 14 + -9y + 7y = 28 + -7y + 7y Combine like terms: -9y + 7y = -2y 14 + -2y = 28 + -7y + 7y Combine like terms: -7y + 7y = 0 14 + -2y = 28 + 0 14 + -2y = 28 Add '-14' to each side of the equation. 14 + -14 + -2y = 28 + -14 Combine like terms: 14 + -14 = 0 0 + -2y = 28 + -14 -2y = 28 + -14 Combine like terms: 28 + -14 = 14 -2y = 14 Divide each side by '-2'. y = -7 Simplifying y = -7
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