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Simplifying 4(y + -3) = 15 + -2y Reorder the terms: 4(-3 + y) = 15 + -2y (-3 * 4 + y * 4) = 15 + -2y (-12 + 4y) = 15 + -2y Solving -12 + 4y = 15 + -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. -12 + 4y + 2y = 15 + -2y + 2y Combine like terms: 4y + 2y = 6y -12 + 6y = 15 + -2y + 2y Combine like terms: -2y + 2y = 0 -12 + 6y = 15 + 0 -12 + 6y = 15 Add '12' to each side of the equation. -12 + 12 + 6y = 15 + 12 Combine like terms: -12 + 12 = 0 0 + 6y = 15 + 12 6y = 15 + 12 Combine like terms: 15 + 12 = 27 6y = 27 Divide each side by '6'. y = 4.5 Simplifying y = 4.5
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