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Simplifying -92 + 6y + 3 = 4(4y + -5) + -9 Reorder the terms: -92 + 3 + 6y = 4(4y + -5) + -9 Combine like terms: -92 + 3 = -89 -89 + 6y = 4(4y + -5) + -9 Reorder the terms: -89 + 6y = 4(-5 + 4y) + -9 -89 + 6y = (-5 * 4 + 4y * 4) + -9 -89 + 6y = (-20 + 16y) + -9 Reorder the terms: -89 + 6y = -20 + -9 + 16y Combine like terms: -20 + -9 = -29 -89 + 6y = -29 + 16y Solving -89 + 6y = -29 + 16y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-16y' to each side of the equation. -89 + 6y + -16y = -29 + 16y + -16y Combine like terms: 6y + -16y = -10y -89 + -10y = -29 + 16y + -16y Combine like terms: 16y + -16y = 0 -89 + -10y = -29 + 0 -89 + -10y = -29 Add '89' to each side of the equation. -89 + 89 + -10y = -29 + 89 Combine like terms: -89 + 89 = 0 0 + -10y = -29 + 89 -10y = -29 + 89 Combine like terms: -29 + 89 = 60 -10y = 60 Divide each side by '-10'. y = -6 Simplifying y = -6
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