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Simplifying 5(y + -3) = 8(y + -6) Reorder the terms: 5(-3 + y) = 8(y + -6) (-3 * 5 + y * 5) = 8(y + -6) (-15 + 5y) = 8(y + -6) Reorder the terms: -15 + 5y = 8(-6 + y) -15 + 5y = (-6 * 8 + y * 8) -15 + 5y = (-48 + 8y) Solving -15 + 5y = -48 + 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. -15 + 5y + -8y = -48 + 8y + -8y Combine like terms: 5y + -8y = -3y -15 + -3y = -48 + 8y + -8y Combine like terms: 8y + -8y = 0 -15 + -3y = -48 + 0 -15 + -3y = -48 Add '15' to each side of the equation. -15 + 15 + -3y = -48 + 15 Combine like terms: -15 + 15 = 0 0 + -3y = -48 + 15 -3y = -48 + 15 Combine like terms: -48 + 15 = -33 -3y = -33 Divide each side by '-3'. y = 11 Simplifying y = 11
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