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Simplifying -38 + 14y + 7 = 4(4y + -3) + -3 Reorder the terms: -38 + 7 + 14y = 4(4y + -3) + -3 Combine like terms: -38 + 7 = -31 -31 + 14y = 4(4y + -3) + -3 Reorder the terms: -31 + 14y = 4(-3 + 4y) + -3 -31 + 14y = (-3 * 4 + 4y * 4) + -3 -31 + 14y = (-12 + 16y) + -3 Reorder the terms: -31 + 14y = -12 + -3 + 16y Combine like terms: -12 + -3 = -15 -31 + 14y = -15 + 16y Solving -31 + 14y = -15 + 16y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-16y' to each side of the equation. -31 + 14y + -16y = -15 + 16y + -16y Combine like terms: 14y + -16y = -2y -31 + -2y = -15 + 16y + -16y Combine like terms: 16y + -16y = 0 -31 + -2y = -15 + 0 -31 + -2y = -15 Add '31' to each side of the equation. -31 + 31 + -2y = -15 + 31 Combine like terms: -31 + 31 = 0 0 + -2y = -15 + 31 -2y = -15 + 31 Combine like terms: -15 + 31 = 16 -2y = 16 Divide each side by '-2'. y = -8 Simplifying y = -8
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