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Simplifying 2(-15 + 2y) + -15 = 2y + 3(-15 + 2y) (-15 * 2 + 2y * 2) + -15 = 2y + 3(-15 + 2y) (-30 + 4y) + -15 = 2y + 3(-15 + 2y) Reorder the terms: -30 + -15 + 4y = 2y + 3(-15 + 2y) Combine like terms: -30 + -15 = -45 -45 + 4y = 2y + 3(-15 + 2y) -45 + 4y = 2y + (-15 * 3 + 2y * 3) -45 + 4y = 2y + (-45 + 6y) Reorder the terms: -45 + 4y = -45 + 2y + 6y Combine like terms: 2y + 6y = 8y -45 + 4y = -45 + 8y Add '45' to each side of the equation. -45 + 45 + 4y = -45 + 45 + 8y Combine like terms: -45 + 45 = 0 0 + 4y = -45 + 45 + 8y 4y = -45 + 45 + 8y Combine like terms: -45 + 45 = 0 4y = 0 + 8y 4y = 8y Solving 4y = 8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-8y' to each side of the equation. 4y + -8y = 8y + -8y Combine like terms: 4y + -8y = -4y -4y = 8y + -8y Combine like terms: 8y + -8y = 0 -4y = 0 Divide each side by '-4'. y = 0 Simplifying y = 0
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