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Simplifying 8(y + -6) = 3y + -23 Reorder the terms: 8(-6 + y) = 3y + -23 (-6 * 8 + y * 8) = 3y + -23 (-48 + 8y) = 3y + -23 Reorder the terms: -48 + 8y = -23 + 3y Solving -48 + 8y = -23 + 3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3y' to each side of the equation. -48 + 8y + -3y = -23 + 3y + -3y Combine like terms: 8y + -3y = 5y -48 + 5y = -23 + 3y + -3y Combine like terms: 3y + -3y = 0 -48 + 5y = -23 + 0 -48 + 5y = -23 Add '48' to each side of the equation. -48 + 48 + 5y = -23 + 48 Combine like terms: -48 + 48 = 0 0 + 5y = -23 + 48 5y = -23 + 48 Combine like terms: -23 + 48 = 25 5y = 25 Divide each side by '5'. y = 5 Simplifying y = 5
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