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Simplifying 100 + 5y = 3(2y + -4) Reorder the terms: 100 + 5y = 3(-4 + 2y) 100 + 5y = (-4 * 3 + 2y * 3) 100 + 5y = (-12 + 6y) Solving 100 + 5y = -12 + 6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-6y' to each side of the equation. 100 + 5y + -6y = -12 + 6y + -6y Combine like terms: 5y + -6y = -1y 100 + -1y = -12 + 6y + -6y Combine like terms: 6y + -6y = 0 100 + -1y = -12 + 0 100 + -1y = -12 Add '-100' to each side of the equation. 100 + -100 + -1y = -12 + -100 Combine like terms: 100 + -100 = 0 0 + -1y = -12 + -100 -1y = -12 + -100 Combine like terms: -12 + -100 = -112 -1y = -112 Divide each side by '-1'. y = 112 Simplifying y = 112
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