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Simplifying -6y + 38 = -8(y + -7) Reorder the terms: 38 + -6y = -8(y + -7) Reorder the terms: 38 + -6y = -8(-7 + y) 38 + -6y = (-7 * -8 + y * -8) 38 + -6y = (56 + -8y) Solving 38 + -6y = 56 + -8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '8y' to each side of the equation. 38 + -6y + 8y = 56 + -8y + 8y Combine like terms: -6y + 8y = 2y 38 + 2y = 56 + -8y + 8y Combine like terms: -8y + 8y = 0 38 + 2y = 56 + 0 38 + 2y = 56 Add '-38' to each side of the equation. 38 + -38 + 2y = 56 + -38 Combine like terms: 38 + -38 = 0 0 + 2y = 56 + -38 2y = 56 + -38 Combine like terms: 56 + -38 = 18 2y = 18 Divide each side by '2'. y = 9 Simplifying y = 9
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