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Simplifying 9y + -38 = -8(y + -8) Reorder the terms: -38 + 9y = -8(y + -8) Reorder the terms: -38 + 9y = -8(-8 + y) -38 + 9y = (-8 * -8 + y * -8) -38 + 9y = (64 + -8y) Solving -38 + 9y = 64 + -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 + 9y + 8y = 64 + -8y + 8y Combine like terms: 9y + 8y = 17y -38 + 17y = 64 + -8y + 8y Combine like terms: -8y + 8y = 0 -38 + 17y = 64 + 0 -38 + 17y = 64 Add '38' to each side of the equation. -38 + 38 + 17y = 64 + 38 Combine like terms: -38 + 38 = 0 0 + 17y = 64 + 38 17y = 64 + 38 Combine like terms: 64 + 38 = 102 17y = 102 Divide each side by '17'. y = 6 Simplifying y = 6
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