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Simplifying -86 + 6y + 2 = 3(5y + -4) + -9 Reorder the terms: -86 + 2 + 6y = 3(5y + -4) + -9 Combine like terms: -86 + 2 = -84 -84 + 6y = 3(5y + -4) + -9 Reorder the terms: -84 + 6y = 3(-4 + 5y) + -9 -84 + 6y = (-4 * 3 + 5y * 3) + -9 -84 + 6y = (-12 + 15y) + -9 Reorder the terms: -84 + 6y = -12 + -9 + 15y Combine like terms: -12 + -9 = -21 -84 + 6y = -21 + 15y Solving -84 + 6y = -21 + 15y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-15y' to each side of the equation. -84 + 6y + -15y = -21 + 15y + -15y Combine like terms: 6y + -15y = -9y -84 + -9y = -21 + 15y + -15y Combine like terms: 15y + -15y = 0 -84 + -9y = -21 + 0 -84 + -9y = -21 Add '84' to each side of the equation. -84 + 84 + -9y = -21 + 84 Combine like terms: -84 + 84 = 0 0 + -9y = -21 + 84 -9y = -21 + 84 Combine like terms: -21 + 84 = 63 -9y = 63 Divide each side by '-9'. y = -7 Simplifying y = -7
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