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Simplifying -49 + 14y + 9 = 4(4y + -5) + -8 Reorder the terms: -49 + 9 + 14y = 4(4y + -5) + -8 Combine like terms: -49 + 9 = -40 -40 + 14y = 4(4y + -5) + -8 Reorder the terms: -40 + 14y = 4(-5 + 4y) + -8 -40 + 14y = (-5 * 4 + 4y * 4) + -8 -40 + 14y = (-20 + 16y) + -8 Reorder the terms: -40 + 14y = -20 + -8 + 16y Combine like terms: -20 + -8 = -28 -40 + 14y = -28 + 16y Solving -40 + 14y = -28 + 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. -40 + 14y + -16y = -28 + 16y + -16y Combine like terms: 14y + -16y = -2y -40 + -2y = -28 + 16y + -16y Combine like terms: 16y + -16y = 0 -40 + -2y = -28 + 0 -40 + -2y = -28 Add '40' to each side of the equation. -40 + 40 + -2y = -28 + 40 Combine like terms: -40 + 40 = 0 0 + -2y = -28 + 40 -2y = -28 + 40 Combine like terms: -28 + 40 = 12 -2y = 12 Divide each side by '-2'. y = -6 Simplifying y = -6
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