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Simplifying 4(y) + -9 + -6(y) = 2(y + 5) + -3 Reorder the terms: -9 + 4y + -6y = 2(y + 5) + -3 Combine like terms: 4y + -6y = -2y -9 + -2y = 2(y + 5) + -3 Reorder the terms: -9 + -2y = 2(5 + y) + -3 -9 + -2y = (5 * 2 + y * 2) + -3 -9 + -2y = (10 + 2y) + -3 Reorder the terms: -9 + -2y = 10 + -3 + 2y Combine like terms: 10 + -3 = 7 -9 + -2y = 7 + 2y Solving -9 + -2y = 7 + 2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2y' to each side of the equation. -9 + -2y + -2y = 7 + 2y + -2y Combine like terms: -2y + -2y = -4y -9 + -4y = 7 + 2y + -2y Combine like terms: 2y + -2y = 0 -9 + -4y = 7 + 0 -9 + -4y = 7 Add '9' to each side of the equation. -9 + 9 + -4y = 7 + 9 Combine like terms: -9 + 9 = 0 0 + -4y = 7 + 9 -4y = 7 + 9 Combine like terms: 7 + 9 = 16 -4y = 16 Divide each side by '-4'. y = -4 Simplifying y = -4
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