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Simplifying 5 + -5(3y + 2) = -3(-2 + 8) + 6 Reorder the terms: 5 + -5(2 + 3y) = -3(-2 + 8) + 6 5 + (2 * -5 + 3y * -5) = -3(-2 + 8) + 6 5 + (-10 + -15y) = -3(-2 + 8) + 6 Combine like terms: 5 + -10 = -5 -5 + -15y = -3(-2 + 8) + 6 Combine like terms: -2 + 8 = 6 -5 + -15y = -3(6) + 6 Multiply -3 * 6 -5 + -15y = -18 + 6 Combine like terms: -18 + 6 = -12 -5 + -15y = -12 Solving -5 + -15y = -12 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -15y = -12 + 5 Combine like terms: -5 + 5 = 0 0 + -15y = -12 + 5 -15y = -12 + 5 Combine like terms: -12 + 5 = -7 -15y = -7 Divide each side by '-15'. y = 0.4666666667 Simplifying y = 0.4666666667
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