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Simplifying -76 + 9y + 6 = 5(3y + -3) + -7 Reorder the terms: -76 + 6 + 9y = 5(3y + -3) + -7 Combine like terms: -76 + 6 = -70 -70 + 9y = 5(3y + -3) + -7 Reorder the terms: -70 + 9y = 5(-3 + 3y) + -7 -70 + 9y = (-3 * 5 + 3y * 5) + -7 -70 + 9y = (-15 + 15y) + -7 Reorder the terms: -70 + 9y = -15 + -7 + 15y Combine like terms: -15 + -7 = -22 -70 + 9y = -22 + 15y Solving -70 + 9y = -22 + 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. -70 + 9y + -15y = -22 + 15y + -15y Combine like terms: 9y + -15y = -6y -70 + -6y = -22 + 15y + -15y Combine like terms: 15y + -15y = 0 -70 + -6y = -22 + 0 -70 + -6y = -22 Add '70' to each side of the equation. -70 + 70 + -6y = -22 + 70 Combine like terms: -70 + 70 = 0 0 + -6y = -22 + 70 -6y = -22 + 70 Combine like terms: -22 + 70 = 48 -6y = 48 Divide each side by '-6'. y = -8 Simplifying y = -8
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