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Simplifying 8y + -30 + -2y = 8(y + -5) Reorder the terms: -30 + 8y + -2y = 8(y + -5) Combine like terms: 8y + -2y = 6y -30 + 6y = 8(y + -5) Reorder the terms: -30 + 6y = 8(-5 + y) -30 + 6y = (-5 * 8 + y * 8) -30 + 6y = (-40 + 8y) Solving -30 + 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. -30 + 6y + -8y = -40 + 8y + -8y Combine like terms: 6y + -8y = -2y -30 + -2y = -40 + 8y + -8y Combine like terms: 8y + -8y = 0 -30 + -2y = -40 + 0 -30 + -2y = -40 Add '30' to each side of the equation. -30 + 30 + -2y = -40 + 30 Combine like terms: -30 + 30 = 0 0 + -2y = -40 + 30 -2y = -40 + 30 Combine like terms: -40 + 30 = -10 -2y = -10 Divide each side by '-2'. y = 5 Simplifying y = 5
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