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Simplifying -6y + 30 = 3(5y + -4) Reorder the terms: 30 + -6y = 3(5y + -4) Reorder the terms: 30 + -6y = 3(-4 + 5y) 30 + -6y = (-4 * 3 + 5y * 3) 30 + -6y = (-12 + 15y) Solving 30 + -6y = -12 + 15y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-15y' to each side of the equation. 30 + -6y + -15y = -12 + 15y + -15y Combine like terms: -6y + -15y = -21y 30 + -21y = -12 + 15y + -15y Combine like terms: 15y + -15y = 0 30 + -21y = -12 + 0 30 + -21y = -12 Add '-30' to each side of the equation. 30 + -30 + -21y = -12 + -30 Combine like terms: 30 + -30 = 0 0 + -21y = -12 + -30 -21y = -12 + -30 Combine like terms: -12 + -30 = -42 -21y = -42 Divide each side by '-21'. y = 2 Simplifying y = 2
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