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Simplifying -3y + 16 = -7(y + -4) Reorder the terms: 16 + -3y = -7(y + -4) Reorder the terms: 16 + -3y = -7(-4 + y) 16 + -3y = (-4 * -7 + y * -7) 16 + -3y = (28 + -7y) Solving 16 + -3y = 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. 16 + -3y + 7y = 28 + -7y + 7y Combine like terms: -3y + 7y = 4y 16 + 4y = 28 + -7y + 7y Combine like terms: -7y + 7y = 0 16 + 4y = 28 + 0 16 + 4y = 28 Add '-16' to each side of the equation. 16 + -16 + 4y = 28 + -16 Combine like terms: 16 + -16 = 0 0 + 4y = 28 + -16 4y = 28 + -16 Combine like terms: 28 + -16 = 12 4y = 12 Divide each side by '4'. y = 3 Simplifying y = 3
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