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Simplifying 51 = 4(y + -2) + -2(y + 4) Reorder the terms: 51 = 4(-2 + y) + -2(y + 4) 51 = (-2 * 4 + y * 4) + -2(y + 4) 51 = (-8 + 4y) + -2(y + 4) Reorder the terms: 51 = -8 + 4y + -2(4 + y) 51 = -8 + 4y + (4 * -2 + y * -2) 51 = -8 + 4y + (-8 + -2y) Reorder the terms: 51 = -8 + -8 + 4y + -2y Combine like terms: -8 + -8 = -16 51 = -16 + 4y + -2y Combine like terms: 4y + -2y = 2y 51 = -16 + 2y Solving 51 = -16 + 2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2y' to each side of the equation. 51 + -2y = -16 + 2y + -2y Combine like terms: 2y + -2y = 0 51 + -2y = -16 + 0 51 + -2y = -16 Add '-51' to each side of the equation. 51 + -51 + -2y = -16 + -51 Combine like terms: 51 + -51 = 0 0 + -2y = -16 + -51 -2y = -16 + -51 Combine like terms: -16 + -51 = -67 -2y = -67 Divide each side by '-2'. y = 33.5 Simplifying y = 33.5
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