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Simplifying -36 + 14y + 3 = 4(4y + -2) + -9 Reorder the terms: -36 + 3 + 14y = 4(4y + -2) + -9 Combine like terms: -36 + 3 = -33 -33 + 14y = 4(4y + -2) + -9 Reorder the terms: -33 + 14y = 4(-2 + 4y) + -9 -33 + 14y = (-2 * 4 + 4y * 4) + -9 -33 + 14y = (-8 + 16y) + -9 Reorder the terms: -33 + 14y = -8 + -9 + 16y Combine like terms: -8 + -9 = -17 -33 + 14y = -17 + 16y Solving -33 + 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. -33 + 14y + -16y = -17 + 16y + -16y Combine like terms: 14y + -16y = -2y -33 + -2y = -17 + 16y + -16y Combine like terms: 16y + -16y = 0 -33 + -2y = -17 + 0 -33 + -2y = -17 Add '33' to each side of the equation. -33 + 33 + -2y = -17 + 33 Combine like terms: -33 + 33 = 0 0 + -2y = -17 + 33 -2y = -17 + 33 Combine like terms: -17 + 33 = 16 -2y = 16 Divide each side by '-2'. y = -8 Simplifying y = -8
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