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Simplifying 4(4y + -3) = 9(2y + 7) Reorder the terms: 4(-3 + 4y) = 9(2y + 7) (-3 * 4 + 4y * 4) = 9(2y + 7) (-12 + 16y) = 9(2y + 7) Reorder the terms: -12 + 16y = 9(7 + 2y) -12 + 16y = (7 * 9 + 2y * 9) -12 + 16y = (63 + 18y) Solving -12 + 16y = 63 + 18y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-18y' to each side of the equation. -12 + 16y + -18y = 63 + 18y + -18y Combine like terms: 16y + -18y = -2y -12 + -2y = 63 + 18y + -18y Combine like terms: 18y + -18y = 0 -12 + -2y = 63 + 0 -12 + -2y = 63 Add '12' to each side of the equation. -12 + 12 + -2y = 63 + 12 Combine like terms: -12 + 12 = 0 0 + -2y = 63 + 12 -2y = 63 + 12 Combine like terms: 63 + 12 = 75 -2y = 75 Divide each side by '-2'. y = -37.5 Simplifying y = -37.5
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