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Simplifying -8(y + -6) = 3 + -7y Reorder the terms: -8(-6 + y) = 3 + -7y (-6 * -8 + y * -8) = 3 + -7y (48 + -8y) = 3 + -7y Solving 48 + -8y = 3 + -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. 48 + -8y + 7y = 3 + -7y + 7y Combine like terms: -8y + 7y = -1y 48 + -1y = 3 + -7y + 7y Combine like terms: -7y + 7y = 0 48 + -1y = 3 + 0 48 + -1y = 3 Add '-48' to each side of the equation. 48 + -48 + -1y = 3 + -48 Combine like terms: 48 + -48 = 0 0 + -1y = 3 + -48 -1y = 3 + -48 Combine like terms: 3 + -48 = -45 -1y = -45 Divide each side by '-1'. y = 45 Simplifying y = 45
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