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Simplifying -3(3y + 5) + -7 = 6(y + 5) + 3y Reorder the terms: -3(5 + 3y) + -7 = 6(y + 5) + 3y (5 * -3 + 3y * -3) + -7 = 6(y + 5) + 3y (-15 + -9y) + -7 = 6(y + 5) + 3y Reorder the terms: -15 + -7 + -9y = 6(y + 5) + 3y Combine like terms: -15 + -7 = -22 -22 + -9y = 6(y + 5) + 3y Reorder the terms: -22 + -9y = 6(5 + y) + 3y -22 + -9y = (5 * 6 + y * 6) + 3y -22 + -9y = (30 + 6y) + 3y Combine like terms: 6y + 3y = 9y -22 + -9y = 30 + 9y Solving -22 + -9y = 30 + 9y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-9y' to each side of the equation. -22 + -9y + -9y = 30 + 9y + -9y Combine like terms: -9y + -9y = -18y -22 + -18y = 30 + 9y + -9y Combine like terms: 9y + -9y = 0 -22 + -18y = 30 + 0 -22 + -18y = 30 Add '22' to each side of the equation. -22 + 22 + -18y = 30 + 22 Combine like terms: -22 + 22 = 0 0 + -18y = 30 + 22 -18y = 30 + 22 Combine like terms: 30 + 22 = 52 -18y = 52 Divide each side by '-18'. y = -2.888888889 Simplifying y = -2.888888889
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