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Simplifying -91 + 2y + 7 = 3(3y + -4) + -9 Reorder the terms: -91 + 7 + 2y = 3(3y + -4) + -9 Combine like terms: -91 + 7 = -84 -84 + 2y = 3(3y + -4) + -9 Reorder the terms: -84 + 2y = 3(-4 + 3y) + -9 -84 + 2y = (-4 * 3 + 3y * 3) + -9 -84 + 2y = (-12 + 9y) + -9 Reorder the terms: -84 + 2y = -12 + -9 + 9y Combine like terms: -12 + -9 = -21 -84 + 2y = -21 + 9y Solving -84 + 2y = -21 + 9y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-9y' to each side of the equation. -84 + 2y + -9y = -21 + 9y + -9y Combine like terms: 2y + -9y = -7y -84 + -7y = -21 + 9y + -9y Combine like terms: 9y + -9y = 0 -84 + -7y = -21 + 0 -84 + -7y = -21 Add '84' to each side of the equation. -84 + 84 + -7y = -21 + 84 Combine like terms: -84 + 84 = 0 0 + -7y = -21 + 84 -7y = -21 + 84 Combine like terms: -21 + 84 = 63 -7y = 63 Divide each side by '-7'. y = -9 Simplifying y = -9
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