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Simplifying 6y + 48 = 8(y + 5) Reorder the terms: 48 + 6y = 8(y + 5) Reorder the terms: 48 + 6y = 8(5 + y) 48 + 6y = (5 * 8 + y * 8) 48 + 6y = (40 + 8y) Solving 48 + 6y = 40 + 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. 48 + 6y + -8y = 40 + 8y + -8y Combine like terms: 6y + -8y = -2y 48 + -2y = 40 + 8y + -8y Combine like terms: 8y + -8y = 0 48 + -2y = 40 + 0 48 + -2y = 40 Add '-48' to each side of the equation. 48 + -48 + -2y = 40 + -48 Combine like terms: 48 + -48 = 0 0 + -2y = 40 + -48 -2y = 40 + -48 Combine like terms: 40 + -48 = -8 -2y = -8 Divide each side by '-2'. y = 4 Simplifying y = 4
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