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Simplifying -2 + 5(3y + -3) = (8y + -4) + -6 Reorder the terms: -2 + 5(-3 + 3y) = (8y + -4) + -6 -2 + (-3 * 5 + 3y * 5) = (8y + -4) + -6 -2 + (-15 + 15y) = (8y + -4) + -6 Combine like terms: -2 + -15 = -17 -17 + 15y = (8y + -4) + -6 Reorder the terms: -17 + 15y = (-4 + 8y) + -6 Remove parenthesis around (-4 + 8y) -17 + 15y = -4 + 8y + -6 Reorder the terms: -17 + 15y = -4 + -6 + 8y Combine like terms: -4 + -6 = -10 -17 + 15y = -10 + 8y Solving -17 + 15y = -10 + 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. -17 + 15y + -8y = -10 + 8y + -8y Combine like terms: 15y + -8y = 7y -17 + 7y = -10 + 8y + -8y Combine like terms: 8y + -8y = 0 -17 + 7y = -10 + 0 -17 + 7y = -10 Add '17' to each side of the equation. -17 + 17 + 7y = -10 + 17 Combine like terms: -17 + 17 = 0 0 + 7y = -10 + 17 7y = -10 + 17 Combine like terms: -10 + 17 = 7 7y = 7 Divide each side by '7'. y = 1 Simplifying y = 1
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