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