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Simplifying -3(y + 5) + -2(3y + 4) = 6y + 7 Reorder the terms: -3(5 + y) + -2(3y + 4) = 6y + 7 (5 * -3 + y * -3) + -2(3y + 4) = 6y + 7 (-15 + -3y) + -2(3y + 4) = 6y + 7 Reorder the terms: -15 + -3y + -2(4 + 3y) = 6y + 7 -15 + -3y + (4 * -2 + 3y * -2) = 6y + 7 -15 + -3y + (-8 + -6y) = 6y + 7 Reorder the terms: -15 + -8 + -3y + -6y = 6y + 7 Combine like terms: -15 + -8 = -23 -23 + -3y + -6y = 6y + 7 Combine like terms: -3y + -6y = -9y -23 + -9y = 6y + 7 Reorder the terms: -23 + -9y = 7 + 6y Solving -23 + -9y = 7 + 6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-6y' to each side of the equation. -23 + -9y + -6y = 7 + 6y + -6y Combine like terms: -9y + -6y = -15y -23 + -15y = 7 + 6y + -6y Combine like terms: 6y + -6y = 0 -23 + -15y = 7 + 0 -23 + -15y = 7 Add '23' to each side of the equation. -23 + 23 + -15y = 7 + 23 Combine like terms: -23 + 23 = 0 0 + -15y = 7 + 23 -15y = 7 + 23 Combine like terms: 7 + 23 = 30 -15y = 30 Divide each side by '-15'. y = -2 Simplifying y = -2
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