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Simplifying -78 + 6y + 8 = 5(3y + -4) + -5 Reorder the terms: -78 + 8 + 6y = 5(3y + -4) + -5 Combine like terms: -78 + 8 = -70 -70 + 6y = 5(3y + -4) + -5 Reorder the terms: -70 + 6y = 5(-4 + 3y) + -5 -70 + 6y = (-4 * 5 + 3y * 5) + -5 -70 + 6y = (-20 + 15y) + -5 Reorder the terms: -70 + 6y = -20 + -5 + 15y Combine like terms: -20 + -5 = -25 -70 + 6y = -25 + 15y Solving -70 + 6y = -25 + 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 + 6y + -15y = -25 + 15y + -15y Combine like terms: 6y + -15y = -9y -70 + -9y = -25 + 15y + -15y Combine like terms: 15y + -15y = 0 -70 + -9y = -25 + 0 -70 + -9y = -25 Add '70' to each side of the equation. -70 + 70 + -9y = -25 + 70 Combine like terms: -70 + 70 = 0 0 + -9y = -25 + 70 -9y = -25 + 70 Combine like terms: -25 + 70 = 45 -9y = 45 Divide each side by '-9'. y = -5 Simplifying y = -5
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