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Simplifying G + -1(15y + -1) = 2(1y + -16) + -1y Reorder the terms: G + -1(-1 + 15y) = 2(1y + -16) + -1y G + (-1 * -1 + 15y * -1) = 2(1y + -16) + -1y G + (1 + -15y) = 2(1y + -16) + -1y Reorder the terms: 1 + G + -15y = 2(1y + -16) + -1y Reorder the terms: 1 + G + -15y = 2(-16 + 1y) + -1y 1 + G + -15y = (-16 * 2 + 1y * 2) + -1y 1 + G + -15y = (-32 + 2y) + -1y Combine like terms: 2y + -1y = 1y 1 + G + -15y = -32 + 1y Solving 1 + G + -15y = -32 + 1y Solving for variable 'G'. Move all terms containing G to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + G + -1 + -15y = -32 + -1 + 1y Reorder the terms: 1 + -1 + G + -15y = -32 + -1 + 1y Combine like terms: 1 + -1 = 0 0 + G + -15y = -32 + -1 + 1y G + -15y = -32 + -1 + 1y Combine like terms: -32 + -1 = -33 G + -15y = -33 + 1y Add '15y' to each side of the equation. G + -15y + 15y = -33 + 1y + 15y Combine like terms: -15y + 15y = 0 G + 0 = -33 + 1y + 15y G = -33 + 1y + 15y Combine like terms: 1y + 15y = 16y G = -33 + 16y Simplifying G = -33 + 16y
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