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Simplifying -75 + 6y + 7 = 5(3y + -2) + -4 Reorder the terms: -75 + 7 + 6y = 5(3y + -2) + -4 Combine like terms: -75 + 7 = -68 -68 + 6y = 5(3y + -2) + -4 Reorder the terms: -68 + 6y = 5(-2 + 3y) + -4 -68 + 6y = (-2 * 5 + 3y * 5) + -4 -68 + 6y = (-10 + 15y) + -4 Reorder the terms: -68 + 6y = -10 + -4 + 15y Combine like terms: -10 + -4 = -14 -68 + 6y = -14 + 15y Solving -68 + 6y = -14 + 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. -68 + 6y + -15y = -14 + 15y + -15y Combine like terms: 6y + -15y = -9y -68 + -9y = -14 + 15y + -15y Combine like terms: 15y + -15y = 0 -68 + -9y = -14 + 0 -68 + -9y = -14 Add '68' to each side of the equation. -68 + 68 + -9y = -14 + 68 Combine like terms: -68 + 68 = 0 0 + -9y = -14 + 68 -9y = -14 + 68 Combine like terms: -14 + 68 = 54 -9y = 54 Divide each side by '-9'. y = -6 Simplifying y = -6
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