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Simplifying 2(2y + -3) = 4(2y + 2) Reorder the terms: 2(-3 + 2y) = 4(2y + 2) (-3 * 2 + 2y * 2) = 4(2y + 2) (-6 + 4y) = 4(2y + 2) Reorder the terms: -6 + 4y = 4(2 + 2y) -6 + 4y = (2 * 4 + 2y * 4) -6 + 4y = (8 + 8y) Solving -6 + 4y = 8 + 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. -6 + 4y + -8y = 8 + 8y + -8y Combine like terms: 4y + -8y = -4y -6 + -4y = 8 + 8y + -8y Combine like terms: 8y + -8y = 0 -6 + -4y = 8 + 0 -6 + -4y = 8 Add '6' to each side of the equation. -6 + 6 + -4y = 8 + 6 Combine like terms: -6 + 6 = 0 0 + -4y = 8 + 6 -4y = 8 + 6 Combine like terms: 8 + 6 = 14 -4y = 14 Divide each side by '-4'. y = -3.5 Simplifying y = -3.5
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