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Simplifying -3(3y + 3) + -7 = -6(y + 5) + 3 Reorder the terms: -3(3 + 3y) + -7 = -6(y + 5) + 3 (3 * -3 + 3y * -3) + -7 = -6(y + 5) + 3 (-9 + -9y) + -7 = -6(y + 5) + 3 Reorder the terms: -9 + -7 + -9y = -6(y + 5) + 3 Combine like terms: -9 + -7 = -16 -16 + -9y = -6(y + 5) + 3 Reorder the terms: -16 + -9y = -6(5 + y) + 3 -16 + -9y = (5 * -6 + y * -6) + 3 -16 + -9y = (-30 + -6y) + 3 Reorder the terms: -16 + -9y = -30 + 3 + -6y Combine like terms: -30 + 3 = -27 -16 + -9y = -27 + -6y Solving -16 + -9y = -27 + -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. -16 + -9y + 6y = -27 + -6y + 6y Combine like terms: -9y + 6y = -3y -16 + -3y = -27 + -6y + 6y Combine like terms: -6y + 6y = 0 -16 + -3y = -27 + 0 -16 + -3y = -27 Add '16' to each side of the equation. -16 + 16 + -3y = -27 + 16 Combine like terms: -16 + 16 = 0 0 + -3y = -27 + 16 -3y = -27 + 16 Combine like terms: -27 + 16 = -11 -3y = -11 Divide each side by '-3'. y = 3.666666667 Simplifying y = 3.666666667
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