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Simplifying -36 + 14y + 9 = 4(4y + -3) + -5 Reorder the terms: -36 + 9 + 14y = 4(4y + -3) + -5 Combine like terms: -36 + 9 = -27 -27 + 14y = 4(4y + -3) + -5 Reorder the terms: -27 + 14y = 4(-3 + 4y) + -5 -27 + 14y = (-3 * 4 + 4y * 4) + -5 -27 + 14y = (-12 + 16y) + -5 Reorder the terms: -27 + 14y = -12 + -5 + 16y Combine like terms: -12 + -5 = -17 -27 + 14y = -17 + 16y Solving -27 + 14y = -17 + 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. -27 + 14y + -16y = -17 + 16y + -16y Combine like terms: 14y + -16y = -2y -27 + -2y = -17 + 16y + -16y Combine like terms: 16y + -16y = 0 -27 + -2y = -17 + 0 -27 + -2y = -17 Add '27' to each side of the equation. -27 + 27 + -2y = -17 + 27 Combine like terms: -27 + 27 = 0 0 + -2y = -17 + 27 -2y = -17 + 27 Combine like terms: -17 + 27 = 10 -2y = 10 Divide each side by '-2'. y = -5 Simplifying y = -5
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