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Simplifying -38 + 4y + 9 = 2(3y + -3) + -7 Reorder the terms: -38 + 9 + 4y = 2(3y + -3) + -7 Combine like terms: -38 + 9 = -29 -29 + 4y = 2(3y + -3) + -7 Reorder the terms: -29 + 4y = 2(-3 + 3y) + -7 -29 + 4y = (-3 * 2 + 3y * 2) + -7 -29 + 4y = (-6 + 6y) + -7 Reorder the terms: -29 + 4y = -6 + -7 + 6y Combine like terms: -6 + -7 = -13 -29 + 4y = -13 + 6y Solving -29 + 4y = -13 + 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. -29 + 4y + -6y = -13 + 6y + -6y Combine like terms: 4y + -6y = -2y -29 + -2y = -13 + 6y + -6y Combine like terms: 6y + -6y = 0 -29 + -2y = -13 + 0 -29 + -2y = -13 Add '29' to each side of the equation. -29 + 29 + -2y = -13 + 29 Combine like terms: -29 + 29 = 0 0 + -2y = -13 + 29 -2y = -13 + 29 Combine like terms: -13 + 29 = 16 -2y = 16 Divide each side by '-2'. y = -8 Simplifying y = -8
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